Next: About this document
Up: The BIBLIOGRAPHY: BIFURCAT.BIB
Previous: The BIBLIOGRAPHY: BIFURCAT.BIB
References
- 1
-
R. ABRAHAM & J. W. ROBBIN.
Transversal Mappings and Flows.
Benjamin, New York, 1967.
- 2
-
J. F. ADAMS.
Lectures on Lie Groups.
Benjamin, New York, 1969.
- 3
-
R. A. ADAMS.
Sobolev spaces.
Academic Press, New York, 1975.
- 4
-
A. AFENDIKOV & A. MIELKE.
A spatial center manifold approach to a hydrodynamical problem with
O(2) symmetry.
In P. Chossat, editor, Dynamics Bifurcation and Symmetry, New
trends and new tools, NATO ASI Series C 437, 1-10, Dordrecht, 1994.
Kluwer Academic Publishers.
- 5
-
G. AHLERS & K. M. BAJAJ.
Rayleigh-Bénard convection with rotation at small Prandtl
numbers.
In Pattern Formation in Continuous and Coupled Systems, 1-9.
IMA, 1999.
- 6
-
M. S. ALBER, R. CAMASSA, D. D. HOLM & J. E. MARSDEN.
The geometry of peaked solitons and billiard solutions of a class of
integrable PDE's.
Letters in Math. Phys., 32, 137-151, 1994.
- 7
-
M. S. ALBER, R. CAMASSA, D. D. HOLM & J. E. MARSDEN.
On the link between umbilic geodiscs and soliton solutions of
nonlinear PDE's.
Proc. Roy. Soc. London, 450, 677-692, 1995.
- 8
-
M. S. ALBER & J. E. MARSDEN.
Resonant geometric phases for soliton equations.
Fields Inst. Comm., 3, 1-26, 1994.
- 9
-
J. C. ALEXANDER & G. AUCHMUTY.
Global bifurcation of waves.
Manuscripta. Math., 27, 159-166, 1979.
- 10
-
J. C. ALEXANDER & G. AUCHMUTY.
Global bifurcations of phase locked oscillators.
Arch. Rat. Mech. Anal., 93, 253-270, 1986.
- 11
-
J. C. ALEXANDER & G. AUCHMUTY.
Bifurcation analysis of reaction-diffusion equations IV. multiply
periodic travelling waves.
SIAM J. Math. Anal., 19(1), 100-109, 1988.
- 12
-
J. C. ALEXANDER & J. YORKE.
The implicit function theorem and the global methods of cohomology.
J. Funct. Anal., 21, 330-339, 1976.
- 13
-
J. C. ALEXANDER & J. YORKE.
Global bifurcation of periodic orbits.
Amer. J. Math, 100, 263-292, 1978.
- 14
-
J. C. ALEXANDER & J. YORKE.
Homotopy continuation methods: Numerically implementable topological
procedures.
Trans. Am. Math. Soc., 242, 271-284, 1978.
- 15
-
N. D. ALIKAKOS & G. FUSCO.
Slow dynamics for the Cahn-Hilliard equationin higher space
dimension: the motion of bubbles.
Arch. Rat. Mech. Anal., 141, 1-61, 1998.
- 16
-
H. AMANN.
Gew"ohnliche Differentialgleichungen.
de Gruyter, Berlin New York, 1995.
- 17
-
A. AMBROSETTI & I. EKELAND.
Perturbation results for a class of Hamiltonian systems with
singularities.
Proc. Roy. Soc. Edinburgh, 114, -13, 1989.
- 18
-
S. ANGENENT.
The Morse-Smale property for semilinear parabolic equations.
J. Diff. Equat., 62, 427-442, 1986.
- 19
-
S. ANGENENT.
The zeroset of a solution of a parabolic equations.
J. Reine Angew. Math., 390, 79-96, 1988.
- 20
-
S. ANTMAN & R. S. MARLOW.
Transcritical buckling of columns.
Zeitschr. Ang. Math. Phys., 43, 7-27, 1992.
- 21
-
D. ARMBRUSTER & P. CHOSSAT.
Heteroclinic cycles in a spherically invariant system.
Physica D, 50, 155-176, 1991.
- 22
-
D. ARMBRUSTER & G. DANGELMAYR.
Coupled stationary bifurcations in a non-flux boundary value problem.
Math. Proc. Cambridge Phil. Soc., 101, 167-192, 1991.
- 23
-
D. ARMBRUSTER, J. GUCKENHEIMER & P. HOLMES.
Heteroclinic cycles and modulated waves in systems with O(2)
symmetry.
Physica D, 29, 257-282, 1988.
- 24
-
D. ARMBRUSTER & E. IHRIG.
Topological constraints for explicit symmetry breaking.
Lect. of Appl. Math., 29, 37-47, 1993.
- 25
-
D. ARMBRUSTER, B. NICOLAENKO, N. SMAOUI & P. CHOSSAT.
Symmetries and dynamics for 2-D Navier-Stokes flow.
Physica D, 95, 81-93, 1996.
- 26
-
M. ARMSTRONG.
Groups and symmetry., Undergraduate Texts in Mathematics.
Springer-Verlag, New York etc., 1988.
- 27
-
L. ARNOLD.
Random dynamical systems.
Springer, New York, 1998.
- 28
-
V. ARNOLD.
Critical points of smooth functions.
In Proceedings of the International Congress of Math., Vancouver
1974, 19-39, 1975.
- 29
-
V. ARNOL'D.
Critical points of smooth functions and their normal forms.
Russ. Math. Surv., 30(5), 1-75, 1975.
- 30
-
V. ARNOLD.
Gewöhnliche Differentialgleichungen.
VEB Deutscher Verlag der Wissenschaften, Berlin, 1979.
- 31
-
V. ARNOLD.
Mathematical Methods of Classical Mechanics.
Springer Verlag, New York Heidelberg Berlin, 1980.
- 32
-
V. ARNOLD.
Geometrical Methods in the Theory of Ordinary Differential
Equations.
Springer Verlag, New York Heidelberg Berlin, 1983.
- 33
-
V. ARNOLD.
Mathematische Methoden der klassischen Mechanik.
VEB Deutscher Verlag der Wissenschaften, Berlin, 1988.
- 34
-
V. ARNOLD & A. AVEZ.
Problèmes Ergodique de la Méchanique Classique.
Gauthier-Villars, Paris, 1967.
- 35
-
V. ARNOLD, S. GUSEIN-ZADE & A. VARCHENKO.
Singularities of Differentiable Maps, Vol. I.
Birkhäuser, Boston Basel Berlin, 1985.
- 36
-
V. ARNOLD, S. GUSEIN-ZADE & A. VARCHENKO.
Singularities of Differentiable Maps, Vol. II.
Birkhäuser, Boston Basel Berlin, 1988.
- 37
-
D. G. ARONSON, M. GOLUBITSKY & M. KRUPA.
Coupled arrays of Josephson junctions and bifurcation of maps with
symmetry.
Nonlinearity, 4, 861-902, 1991.
- 38
-
D. G. ARONSON, M. GOLUBITSKY & J. MALLET-PARET.
Ponies on a merry-go-round in large arrays of Josephson junctions.
Nonlinearity, 4, 903-910, 1991.
- 39
-
D. G. ARONSON, S. VAN GILS & M. KRUPA.
Homoclinic twist bifurcations with symmetry.
J. Nonl. Sc., 4, 195-219, 1994.
- 40
-
P. ASHWIN.
Chaotic intermittency of patterns in symmetric systems.
In Pattern Formation in Continuous and Coupled Systems, 11-24.
IMA, 1999.
- 41
-
P. ASHWIN, J. BUESCU & I. STEWART.
Bubbling of attractors and synchronisation of chaotic oscillators.
preprint, 1994.
- 42
-
P. ASHWIN, J. BUESCU & I. STEWART.
From attractors to chaotic saddle: a tale of transverse instability.
preprint, 1994.
- 43
-
P. ASHWIN & P. CHOSSAT.
Attractors for robust heteroclinic sets with a continuum of
connections.
preprint, 1996.
- 44
-
P. ASHWIN & M. FIELD.
Fheteroclinic networks in coupled cell systems.
Univ. Surrey, Technical Report, 97/29, 1-36, 1997.
- 45
-
P. ASHWIN, G. KING & J. SWIFT.
Symmetric chaos in systems of 3 and 4 forced oscillators.
Nonlinearity, 3, 603-618, 1990.
- 46
-
P. ASHWIN, G. KING & J. SWIFT.
Three identical oscillators with symmetric coupling.
Nonlinearity, 3, 585-602, 1990.
- 47
-
P. ASHWIN & Z. MEI.
A Hopf bifurcation with Robbin boundary conditions.
J. Dyn. Diff. Equat., 6(3), 487-505, 1994.
- 48
-
P. ASHWIN & I. MELBOURNE.
Symmetry groups of attractors.
Arch. Rat. Mech. Anal., 126(1), 59-78, 1994.
- 49
-
P. ASHWIN & I. MELBOURNE.
Noncompact drift for relative equilibria and relative periodic
orbits.
Nonlinearity, 10, 595-616, 1997.
- 50
-
P. ASHWIN & J. MONTALDI.
Group theoretic conditions for existence of robust heteroclinic
cycles.
Math. Proc. Cambridge Phil. Soc., 133(1), 125-141, 2002.
- 51
-
P. ASHWIN & I. STEWART.
Density of orbits of symmetric maps.
Prepint, 1993.
- 52
-
P. ASHWIN & J. W. SWIFT.
The dynamics of n weakly coupled identical oscillators.
J. Nonl. Sc., 2, 69-108, 1992.
- 53
-
P. J. ASTON.
Scaling laws and bifurcation.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II, Berlin Heidelberg New York, 1991.
Springer Verlag.
Lecture Notes in Mathematics 1463.
- 54
-
P. J. ASTON.
An investigation of a mode interaction involving period doubling and
symmetry-breaking bifurcations.
In P. Chossat, editor, Dynamics Bifurcation and Symmetry, New
trends and new tools, NATO ASI Series C 437, 49-58, Dordrecht, 1994.
Kluwer Academic Publishers.
- 55
-
P. J. ASTON & M. DELLNITZ.
Symmetry breaking bifurcations of chaotic attractors.
preprint, 1994.
- 56
-
P. J. ASTON, A. SPENCE & W. WU.
Bifurcation to rotating waves in equations with O(2)
symmetry.
SIAM J. Appl. Math., 52(3), 792-809, 1992.
- 57
-
A. V. BABIN.
Symmetrization properties of parabolic equations in symmetric
domains.
J. Dyn. and Diff. Equat., 6(4), 639-658, 1994.
- 58
-
A. V. BABIN.
Symmetry of instabilities for scalar equations in symmetric domains.
J. Diff. Equat., 123(1), 122-152, 1995.
- 59
-
A. BAIDER & J. SANDERS.
Further reduction of the Takens-Bogdanov normal form.
J. Diff. Equat., 99, 205-244, 1992.
- 60
-
H. BAKER.
Principles of Geometry.
Cambridge Univ. Press, 1925.
- 61
-
J. M. BALL & D. G. SCHAEFFER.
Bifurcation and stability of homogeneous equilibrium configurations
of an elastic body under dead-load tractions.
Math. Proc. Cambridge Phil. Soc., 94, 315-339, 1983.
- 62
-
U. BANDELOW, H. J. WüNSCHE & H. WENZEL.
Theory of selfpulsation in two-section DFB lasers.
IEEE Photonics Technol Lett., 5, 1176-1179, 1993.
- 63
-
E. BARANY, M. DELLNITZ & M. GOLUBITSKY.
Detecting the symmetries of attractors.
Physica D, 67, 66-87, 1993.
- 64
-
E. BARANY, M. GOLUBITSKY & J. TURSKI.
Bifurcations with local gauge symmetries in the ginzberg-landau
equations.
Prepint, 1991.
- 65
-
E. BARANY & I. MELBOURNE.
A family of stable equilibria in bifurcation with spherical symmetry.
SIAM J. Math. Anal., 23(1), 72-80, 1992.
- 66
-
E. J. BARANY.
Algebraic Aspects of Broken Symmetry: Irreducible
Representations of SO(3).
PhD thesis, The Ohio University, 1988.
- 67
-
D. BARKLEY.
Linear stability analysis of rotating spiral waves in excitable
media.
Phys. Rev. Lett., 68, 2090-2093, 1992.
- 68
-
D. BARKLEY.
Euclidean symmetry and the dynamics of rotating spiral waves.
Phys. Rev. Lett., 72, 164-167, 1994.
- 69
-
T. BARTSCH.
A global index for bifurcation of fixed points.
J. Reine Angew. Math., 391, 181-197, 1988.
- 70
-
T. BARTSCH.
The Conley index over a space.
Math. Zeitschr., 209, 167-177, 1992.
- 71
-
T. BARTSCH.
On the existence of Borsuk-Ulam theorems.
Topology, 31, 533-543, 1992.
- 72
-
T. BARTSCH.
Topological Methods for Variational Problems with Symmetries,
Lecture Notes in Mathematics 1560.
Springer Verlag, 1993.
- 73
-
T. BARTSCH.
Bifurcation of stationary and heteroclinic orbits for parametrized
gradient-like flows.
Topology in Nonl. Anal., Banach Center Publ., 35, 93-27, 1996.
- 74
-
T. BARTSCH.
Critical point theory for indefinite functionals with symmetry.
J. Funct. Anal., 138, 107-136, 1996.
- 75
-
T. BARTSCH & J. MAWHIN.
The Leray-Schauder degree of -equivariant degree operators
associated to autonomous neutral equations in spaces of periodic functions.
Prepint, 1990.
- 76
-
T. BARTSCH & Z.-Q. WANG.
Periodic solutions of even Hamiltonian systems on the torus.
Math. Zeitschr., 224, 65-76, 1997.
- 77
-
T. BARTSCH & M. WILLEM.
Infinitely many non-radial solutions of an Euclidean scalar field
equation.
preprint, 1992.
- 78
-
T. BARTSCH & M. WILLEM.
Infinitely many radial solutions of a semilinear elliptic problem on
.
preprint, 1992.
- 79
-
P. BATES.
Invariant manifolds for perturbations of nonlinear parabolic systems
with symmetry.
Lect. Appl. Math, 23, 209-217, 1986.
- 80
-
P. BATES & C. K. R. T. JONES.
Invariant manifold theorems with applications.
In Nonlinear functional analysis and its applications, NATO
Adv.Sc. Inst. Ser. C: Math. Phys. Sc. 173, 177-186. Reidel, 1986.
- 81
-
P. BATES & C. K. R. T. JONES.
Invariant manifolds for semilinear partial differential equations.
Dynamics reported, 2, 1989.
- 82
-
E. BEHRENDS & B. FIEDLER.
Periods of discretized linear Anosov maps.
Preprint DAnSE, 1/95, 1995.
- 83
-
P. BELTRAME, P. CHOSSAT & P. LAURE.
Convection en double diffusion dans une coque spherique.
C. R. Acad. Sci. Paris, Ser. I, 325(9), 1049-1052, 1997.
- 84
-
V. BENCI.
A geometrical index for the group and some applications to
the study of periodic solutions of ordinary differntial equations.
Comm. Pure and Appl. Math., 34, 393-432, 1981.
- 85
-
L. C. BIEDENHARN & J. LOUCK.
Angular Momentum in Quantum Mechanics, Theory and Applications.
Addison-Wesley Publ. Co., 1981.
- 86
-
E. BIERSTONE.
Lifting isotopies from orbit spaces.
Topology, 14, 245-252, 1975.
- 87
-
E. BIERSTONE.
General position of equivariant maps.
Trans. Am. Math. Soc., 234, 447-466, 1977.
- 88
-
G. BIRKHOFF & S. MAC-LANE.
A Survey of Modern Algebra.
The Macmillan Company, 1963.
- 89
-
F. E. BISSHOPP & P. NIILER.
Onset of convection in a rapidly rotating fluid sphere.
J. Fluid Mech., 23, 459-469, 1965.
- 90
-
A. M. BLOCH, P. KRISHNAPRASAD, J. E. MARSDEN & R. M. MURRAY.
Nonholonomic mechanical systems with symmetry.
Arch. Rat. Mech. Anal., to appear, 1-66, 1995.
- 91
-
BOGDANOV.
Bifurcation of self-sustained magnetic fields in planar convective
flow.
Preprint, 1994.
- 92
-
R. BOGDANOV.
Bifurcation of the limit cycle of a family of plane vector fields.
Sel. Math. Sov., 1, 373-387, 1981.
- 93
-
R. BOGDANOV.
Versal deformation of a singularity of a vector field on the plane in
the case of zero eigenvalues.
Sel. Math. Sov., 1, 389-421, 1981.
- 94
-
W. M. BOOTHBY.
Introduction to Differential Manifolds and Riemannian Geometry.
Academic Press, 1986.
- 95
-
I. BOSCH-VIVANCOS, P. CHOSSAT & P. LAURE.
Symmetry breaking convective dynamos in spherical shells.
Preprint, 1994.
- 96
-
I. BOSCH-VIVANCOS, P. CHOSSAT & I. MELBOURNE.
New planforms of systems of partial differential equations with
Euclidean symmetry.
Arch. Rat. Mech. Anal., 131(3), 199-224, 1995.
- 97
-
I. BOSCH-VIVANCOS, P. CHOSSAT & J. OPREA.
Bifurcation of self-sustained magnetic fields in planar convective
flow.
Europ. J. of Mech., B/Fluids, 14, 115-142, 1995.
- 98
-
A. BOSE & C. JONES.
Stability of the in-phase travelling wave solution in a pair of
coupled nerve fibers.
Preprint, 1-35, 1995.
- 99
-
W. BRANNATH.
Heteroclinic networks on the simplex.
Preprint, 1-40, 1993.
- 100
-
M. BRAUNE & H. ENGEL.
Compound rotation of spiral waves in active media with periodically
modulated excitability.
Chem. Phys. Lett., 211, 534-540, 1993.
- 101
-
G. E. BREDON.
Introduction to Compact Transformation Groups.
Academic Press, 1972.
- 102
-
G. E. BREDON.
Topology and Goemetry, Graduate Texts in Math. 139.
Springer, 1993.
- 103
-
T. J. BRIDGES.
Symplecticity, reversibility and elliptic operators.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 104
-
T. BRöCKER & K. JäNICH.
Differentialtopologie, Heidelberger Taschenbücher 98.
Springer Verlag, 1973.
- 105
-
T. BRöCKER & T. TOM DIECK.
Representations of Compact Lie Groups, Graduate Texts in
Mathematics 98.
Springer Verlag, 1985.
- 106
-
H. BROER, G. HUITEMA & M. SEVRYUK.
Families of quasiperiodic motions in dynamical systems depending on
parameters.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 107
-
H. BROER, H. OSINGA & G. VEGTER.
On the computation of normally hyperbolic invariant manifolds.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 108
-
H. BROER & F. TAKENS.
Geometry and Analysis in Nonlinear Dynamics, Research Notes in
Mathematics 222.
Longman, 1992.
- 109
-
E. BROMMUNDT.
Wechselwirkungen zwischen Polygonisation und Antrieb bei
Eisenbahnrädern.
Techn. Mechanik, 16(4), 273-284, 1996.
- 110
-
I. BRONSTEIN & A. Y. KOPANSKII.
Normal forms of vector fields satsfying certain geometric conditions.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 111
-
P. BRUNOVSKýN & P. POLáCIK.
The Morse-Smale structure of a generic reaction-diffusion
equation in higher space dimension.
J. Diff. Equat., 135(1), 129-181, 1996.
- 112
-
J. J. BURCKHARDT.
Die Bewegungsgruppen der Kristallographie.
Birkhäuser, 1966.
- 113
-
F. H. BUSSE.
The stability of finite amplitude cellular convection and its
relation to an extremum principle.
J. Fluid Mech., 30, 625-645, 1967.
- 114
-
F. H. BUSSE.
Differential rotation in stellar convection zones, II.
Astron. and Astrophys., 28, 27-37, 1973.
- 115
-
F. H. BUSSE.
Pattern of convection in spherical shells.
J. Fluid Mech., 72, 65-85, 1975.
- 116
-
F. H. BUSSE.
Transition to turbulence in Rayleigh-Bénard convection.
Top. Appl. Phys., 45, 97-137, 1981.
- 117
-
F. H. BUSSE.
Bounds for turbulent transports in problems with semi-infinite fluid
domains.
Appl. Sc. Res., 51, 19-24, 1993.
- 118
-
F. H. BUSSE & R. CLEVER.
Nonstationary convection in a rotating system.
In U. Müller, K. G. Roessner & B. Schmidt, editors, Recent
Development in Theoretical and Experimental Fluid Mechanics, 376-385.
Springer Verlag, 1979.
- 119
-
F. H. BUSSE & R. CLEVER.
Heteroclinic cycles and phase turbulence.
In Pattern Formation in Continuous and Coupled Systems, 25-32.
IMA, 1999.
- 120
-
F. H. BUSSE & K. HEIKES.
Convection in a rotating layer: a simple case of turbulence.
Science, 208, 173, 1980.
- 121
-
F. H. BUSSE & M. KROPP.
Buoyancy driven instabilities in rotating layers with parallel axis
of rotation.
Zeitschr. Ang. Math. Phys., 43, 28-35, 1992.
- 122
-
F. H. BUSSE, M. KROPP & M. ZAKS.
Spatio-temporal structures in phase-turbulent convection.
Physica D, 61, 94-105, 1992.
- 123
-
F. H. BUSSE & N. RIAHI.
Pattern of convection in spherical shells, II.
J. Fluid Mech., 123, 283-301, 1982.
- 124
-
F. H. BUSSE & N. RIAHI.
Mixed mode patterns of bifurcation from spherically symmetric basic
states.
Nonlinearity, 1, 379-388, 1988.
- 125
-
E. BUZANO, G. GEYMONAT & T. POSTON.
Post-buckling behavior of a nonlinearlyhyperelastic thin rod with
cross-section invariant under the dihedral group .
Arch. Rat. Mech. Anal., 89(4), 307-388, 1985.
- 126
-
E. BUZANO & M. GOLUBITSKY.
Bifurcation on the hexagonal lattice and the planar bénard
problem.
Phil. Tans. Ro. Soc. London, 308, 617-667, 1983.
- 127
-
V. BYKOV.
The bifurcation of seperatrix contours and chaos.
Physica 62D, 290-299, 1993.
- 128
-
H. BYRNE & P. METTHEWS.
Asymmetric growth of models of avascular solid tumors: Exploiting
symmetries.
Preprint, 1-34, 2002.
- 129
-
J. CARR.
Application of Centre Manifold Theory, Appl. Math. Sc.
35.
Springer Verlag, 1981.
- 130
-
C. CARRIGAN & F. BUSSE.
An experimental and theoretical investigation of the onset of
convection in rotating spherical shells.
J. Fluid Mech., 126, 287-305, 1983.
- 131
-
G. CERAMI.
Symmetry breaking for a class of semilinear elliptic problems.
Nonl. Anal., TMA, 10(1), 1-14, 1986.
- 132
-
A. R. CHAMPNEYS, J. HäTERICH & B. SANDSTEDE.
A non-transverse homoclinic orbit to a saddle-node equilibrium.
preprint, 1994.
- 133
-
S. CHANDRASEKHAR.
Hydrodynamic and Hydromagnetic stability.
Dover, 1961.
- 134
-
X.-Y. CHEN & H. MATANO.
Convergence, asymptotic periodicity, and finite-point blow-up in
one-dimensional semilinear heat equations.
J. Diff. Equat., 78(1), 160-190, 1989.
- 135
-
X.-Y. CHEN & P. POLáCIK.
Gradient like structure and Morse decomposition for time-periodic
one-dimensional equations.
J. Dyn. and Diff. Equat., 7, 73-107, 1995.
- 136
-
X.-Y. CHEN & P. POLáCIK.
Asymptotic periodicity of positive solutions of reaction diffusion
equations on a ball.
J. Reine Angew. Math., 472, 17-51, 1996.
- 137
-
X.-Y. CHEN & P. POLáCIK.
Asymptotic periodicity of positive solutions of reaction diffusion
equations on a ball.
J. Reine Angew. Math., 472, 17-51, 1996.
- 138
-
K.-S. CHENG & J. SMOLLER.
Symmetry breaking for systems of nonlinear elliptic equations.
J. Diff. Equat., 80(2), 315-342, 1989.
- 139
-
K.-S. CHENG & J. SMOLLER.
Symmetry breaking under small perturbatiions.
Arch. Rat. Mech. Anal., 108(1), 83-96, 1989.
- 140
-
J.-L. CHERN & S.-G. YANG.
The limit sets of dynamical systems on spheres.
Nonl. Anal., TMA, 26(9), 1565-1572, 1996.
- 141
-
C. CHEVALLEY.
Invariants of finite groups generated by reflections.
Amer. J. Math, 77, 778-782, 1955.
- 142
-
C. CHICONE.
Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation
of periodic solutions in coupled oscillators.
J. Diff. Equat., 112, 407-447, 1994.
- 143
-
C. CHICONE.
A geometric approach to regular perturbation theory with an
application to hydrodynamics.
Trans. Am. Math. Soc., 347(12), 4559-4598, 1995.
- 144
-
S. CHILDRESS.
Convective dynamos.
In Spiegel & Zahn, editors, Problems of stellar convection.
Springer Verlag, 1976.
Lecture Notes in Physics 71.
- 145
-
S. CHILDRESS & A. D. GILBERT.
Stretch, Twist, Fold: The Fast Dynamo.
Springer, 1995.
- 146
-
D. CHILLINGWORTH.
Differential Topology with a view to applications.
Pitman, 1976.
- 147
-
D. R. J. CHILLINGWORTH.
Bifurcation from a manifold.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II. Springer Verlag, 1991.
Lecture Notes in Mathematics 1463.
- 148
-
D. R. J. CHILLINGWORTH.
The Signorini perturbation scheme in an abstract setting.
Proc. Roy. Soc. Edinburgh, 119A, 373-395, 1991.
- 149
-
D. R. J. CHILLINGWORTH.
Veronese and the detectives: finding the symmetry of attractors.
Fields Inst. Comm., 5, 85-92, 1996.
- 150
-
D. R. J. CHILLINGWORTH.
Generic bifurcation from a 2-manifold.
In Equdiff '99, 1999.
- 151
-
D. R. J. CHILLINGWORTH.
Generic multiparameter bifurcation from a manifold.
Dyn. Stab. Sys., 15, 101-137, 2000.
- 152
-
D. R. J. CHILLINGWORTH, E. V. AONSO & A. WHEELER.
Geometry and dynamics of a nematic liquid crystal in a uniform shear
flow.
Preprint, 1-17, 2000.
- 153
-
D. R. J. CHILLINGWORTH, J. E. MARSDEN & Y. WAN.
Symmetry and bifurcation in three-dimensional elasticity. i.
Arch. Rat. Mech. Anal., 80, 295-331, 1982.
- 154
-
D. R. J. CHILLINGWORTH, J. E. MARSDEN & Y. WAN.
Symmetry and bifurcation in three-dimensional elasticity. ii.
Arch. Rat. Mech. Anal., 83, 363-395, 1983.
- 155
-
P. CHOSSAT.
Bifurcation and stability of convective flow in a rotating or
nonrotating spherical shell.
SIAM J. Appl. Math., 37, 624-647, 1979.
- 156
-
P. CHOSSAT.
Le Problème de Bénard dans une Couche Sphérique.
PhD thesis, Nice, 1981.
- 157
-
P. CHOSSAT.
Interactions entre bifurcations par brisure partielle de symétrie
sphérique.
Ann. Scient. de l'Ecole Normale Sup. série, 15,
1982.
- 158
-
P. CHOSSAT.
Solutions avec symétrie diédrale dans les problèmes de
bifurcation invariants par symétrie sphérique.
C. R. Acad. Sci. Paris, Ser. I, 297, 639-642, 1983.
- 159
-
P. CHOSSAT.
Bifurcations secondaire de solutions quasi périodique dans un
problème de bifurcation de Hopf invariant pas symètrie
O(2).
CRAS, 302, 539-541, 1986.
- 160
-
P. CHOSSAT.
Branching of rotating waves in a one-parameter problem of
steady-state bifurcation with spherical symmetry.
Nonlinearity, 4, 1123-1129, 1991.
- 161
-
P. CHOSSAT.
Forced reflectional symmetry breaking of an O(2)-symmetric
homoclinic cycle.
Nonlinearity, 6, 723-731, 1993.
- 162
-
P. CHOSSAT & D. ARMBRUSTER.
Structurally stable heteroclinic cycles in a system with
O(3)-symmetry.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II, 38-62. Springer Verlag, 1991.
Lecture Notes in Mathematics 1463.
- 163
-
P. CHOSSAT & F. DIAS.
The 1:2 resonance with O(3) symmetry and its applications
hydrodynamics.
J. Nonl. Sc., 5(2), 105-129, 1995.
- 164
-
P. CHOSSAT & M. FIELD.
Geometric analysis of the effect of symmetry breaking on an
O(2)-invariant homoclinic cycle.
In W. Langford, editor, Normal forms and homoclinic chaos,
Proceedings of a Workshop, held at The Fields Institute for Research in
Mathematical Sciences, 21-42, 1995.
- 165
-
P. CHOSSAT & J. P. GIRAUD.
Calcul des coefficients de bifurcation dans un problème de
convection en symétrie sphérique.
J. de Mécanique Théorique et Appliquée, 2, 799-828,
1983.
- 166
-
P. CHOSSAT & M. GOLUBITSKY.
Hopf bifurcation in the presence of symmetry, center manifold and
lyapunov-schmidt reduction.
In F. V. Atkinson, W. F. Langford & A. B. Mingarell, editors,
Oscillation, Bifurcation and Chaos, 343-352. Amer. Math. Soc., 1987.
- 167
-
P. CHOSSAT & M. GOLUBITSKY.
Iterates of maps with symmetry.
SIAM J. Math. Anal., 19, 1259-1270, 1988.
- 168
-
P. CHOSSAT & M. GOLUBITSKY.
Symmetry increasing bifurcation of chaotic attractors.
Physica D, 32, 432-436, 1988.
- 169
-
P. CHOSSAT & F. GUYARD.
Heteroclinic cycles in bifurcation problems with O(3)
symmetry and the spherical Bénard problem.
J. Nonl. Sc., 6, 201-238, 1996.
- 170
-
P. CHOSSAT, F. GUYARD & R. LAUTERBACH.
Heteroclinic sets in spherically invariant systems and their
perturbations.
J. Nonl. Sc., 9, 479-524, 1999.
- 171
-
P. CHOSSAT & G. IOOSS.
Primary and secondary bifurcations in the couette-taylor problem.
Japan J. Appl. Math, 2, 37-68, 1985.
- 172
-
P. CHOSSAT & G. IOOSS.
The Couette-Taylor Problem, Studies in Applied Mathematics
102.
Springer Verlag, 1994.
- 173
-
P. CHOSSAT, M. K nig & J. MONTALDI.
Bifurcation générique d'ondes rotatives d'isotropie maximale.
C. R. Acad. Sci. Paris, Ser. I, 320, 25-30, 1995.
- 174
-
P. CHOSSAT, M. KRUPA, I. MELBOURNE & A. SCHEEL.
Transverse bifurcations of homoclinic cycles.
Physica D, 100, 85-100, 1997.
- 175
-
P. CHOSSAT, M. KRUPA, I. MELBOURNE & A. SCHEEL.
Magnetic dynamos in rotating convection- a dynamical systems
approach.
Dyn. of Cont., Discr. and Imp. Syst., 5, 327-340, 1999.
- 176
-
P. CHOSSAT & R. LAUTERBACH.
The instability of axisymmetric solutions in problems with spherical
symmetry.
SIAM J. Math. Anal., 20, 31-38, 1989.
- 177
-
P. CHOSSAT & R. LAUTERBACH.
Théorème de Hartman-Grobman et réduction à
l'espaces des orbites.
C. R. Acad. Sci. Paris, Ser. I, 325, 595-600, 1997.
- 178
-
P. CHOSSAT & R. LAUTERBACH.
Methods in Equivariant Bifurcation and Dynamical Systems,
Advanced Series in Nonlinear Dynamics 15.
World Scientific, 2000.
- 179
-
P. CHOSSAT, R. LAUTERBACH & I. MELBOURNE.
Steady-state bifurcation with O(3)-symmetry.
Arch. Rat. Mech. Anal., 113(4), 313-376, 1991.
- 180
-
S. N. CHOW, B. DENG & B. FIEDLER.
Homoclinic bifurcation at resonant eigenvalues.
J. Dyn. and Diff. Equat., 2, 177-244, 1990.
- 181
-
S.-N. CHOW & J. HALE.
Methods of Bifurcation Theory, Grundl. d. Math.
Wissenschaften 251.
Springer Verlag, 1982.
- 182
-
S.-N. CHOW, J. K. HALE & J. MALLET-PARET.
An example of bifurcation to homoclinic orbits.
J. Diff. Equat., 37, 351-373, 1980.
- 183
-
S.-N. CHOW & R. LAUTERBACH.
On bifurcation for variational problems.
In S.-N. Chow & J. Hale, editors, Dynamics of Infinite
Dimensional Systems. Springer Verlag, 1987.
- 184
-
S.-N. CHOW & R. LAUTERBACH.
A bifurcation theorem for critical points of variational problems.
Nonl. Anal., TMA, 12, 51-61, 1988.
- 185
-
S.-N. CHOW, C. LI & D. WANG.
Normal Forms and Bifurcations of Planar Vector Fields.
Cambridge Univ. Press, 1994.
- 186
-
S.-N. CHOW, K. LU & J. MALLET-PARET.
Floquet bundles for scalar parabolic equations.
preprint, 1993.
- 187
-
S.-N. CHOW & J. MALLET-PARET.
Integral averaging and bifurcation.
J. Diff. Equat., 26, 112-159, 1977.
- 188
-
S.-N. CHOW & J. MALLET-PARET.
The Fuller index and global Hopf bifurcation.
J. Diff. Equat., 29, 66-85, 1978.
- 189
-
S.-N. CHOW & J. MALLET-PARET.
The parameterized obstacle problem.
nla, 4, 73-91, 1980.
- 190
-
S.-N. CHOW, J. MALLET-PARET & J. YORKE.
Global hopf bifurcation from a multiple eigenvalue.
Nonl. Anal., TMA, 2, 753-763, 1978.
- 191
-
S.-N. CHOW & G. SELL.
Smoothness of inertial manifolds.
J. Math. Anal. Appl., 169, 283-312, 1992.
- 192
-
G. CICOGNA.
Symmetry breakdown from bifurcation.
Lettere al Nuovo Cimento, 31, 600-602, 1981.
- 193
-
G. CICOGNA.
Hopf-type bifurcations in the presence of linear and nonlinear
symmetries.
preprint, 1991.
- 194
-
G. CICOGNA & G. GAETA.
Periodic solutions from symmetry.
Nonl. Anal., TMA, 13(5), 475-488, 1989.
- 195
-
G. CICOGNA & G. GAETA.
Lie point symmetries in bifurcation problems.
Ann. Inst. Henri Poincare, Phys. Theor., 56(4), 375-414, 1992.
- 196
-
M. C. CIOCCI & A. VANDERBAUWHEDE.
Bifurcation of periodic orbits for symplectic mappings.
preprint, 1997.
- 197
-
M. CLAPP & D. PUPPE.
Critical point theory with symmetry.
J. Reine Angew. Math., 418, 1-29, 1991.
- 198
-
M. CLAPP & D. PUPPE.
Critical point theory of symmetric functions and closed geodiscs.
Diff. Geom. Appl, 6(4), 367-396, 1996.
- 199
-
L. COLLATZ.
Gewöhnliche Differentialgleichungen.
Teubner, 1966.
- 200
-
B. COLLER & P. HOLMES.
Suppression of bursting.
Automatica, 33(1), 1-11, 1997.
- 201
-
P. COLLET & J.-P. ECKMANN.
Instabilities and fronts in extended systems.
Princeton University Press, Princeton, NJ, 1990.
- 202
-
J. COLLINS & I. STEWART.
A group theoretic approach to rings of coupled biological
oscillators.
Biol. Cybern., 71(2), 95-103, 1994.
- 203
-
C. CONLEY.
Isolated Invariant Sets and the Morse Index, Reg. Conf. Ser.
Math. 38.
Am. Math. Soc., 1978.
- 204
-
P. CONSTANTIN, C. FOIAS & J. GIBSON.
Finite dimensional attractors for the Laser equations.
Nonlinearity, 2, 241-269, 1989.
- 205
-
P. CONSTANTIN, C. FOIAS, B. NICOLAENKO & R. TEMAM.
Integral Manifolds and Inertial manifolds for Dissipative
Partial Differential Equations.
Springer, 1989.
- 206
-
P. CONSTANTIN, C. FOIAS, B. NICOLAENKO & R. TEMAM.
Spectral barriers and inertial manifolds for dissipative partial
differential equations.
J. Dyn. Diff. Equat., 1(1), 45-74, 1989.
- 207
-
J. P. CONWAY.
Functions of one complex variable.
Springer, 1978.
- 208
-
W. A. COPPEL.
Dichotomies in Stability Theory, Lect. Notes in Math.
629.
Springer, 1978.
- 209
-
P. COULLET.
Ginzberg-Landau models of non-equilibrium partially integrable
equations in physics.
In Proc. Nato Asi les Houches France, Asi Series C 130,
261-275, 1990.
- 210
-
P. COULLET.
Le pendule et le coquillage.
La Recherche, 305, 78-82, 1998.
- 211
-
M. G. CRANDALL & P. H. RABINOWITZ.
Bifurcation from simple eigenvalues.
J. Funct. Anal., 8, 321-340, 1971.
- 212
-
M. G. CRANDALL & P. H. RABINOWITZ.
Bifurcation, pertubation of simple eigenvalues and linearized
stability.
Arch. Rat. Mech. Anal., 52, 161-180, 1973.
- 213
-
M. G. CRANDALL & P. H. RABINOWITZ.
The Hopf bifurcation theorem in infinite dimensions.
Arch. Rat. Mech. Anal., 67, 53-72, 1978.
- 214
-
J. D. CRAWFORD, M. GOLUBITSKY, M. GOMES, E. KNOBLOCH & I. N. STEWART.
Boundary conditions as symmetry constraints.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II. Springer Verlag, 1991.
Lecture Notes in Mathematics 1463.
- 215
-
J. D. CRAWFORD & E. KNOBLOCH.
Classification and unfolding of degenerate Hopf bifurcations with
O(2) symmetry:No distinguished parameter.
Physica D, 31(1), 1-48, 1988.
- 216
-
J. D. CRAWFORD & E. KNOBLOCH.
On degenerate Hopf bifurcations with broken O(2) symmetry.
Nonlinearity, 1(4), 617-652, 1988.
- 217
-
C. W. CURTIS & I. REINER.
Methods of Representation Theory, With Applications to Finite
Groups and Orders.
John Wiley & Sons, 1981.
- 218
-
R. CUSHMAN, J. HERMANS & D. KEMPAINEN.
The roling disc.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 219
-
R. CUSHMAN & J. SANDERS.
Nilpotent normal forms and representation theory of .
In M. Golubitsky & J. Guckenheimer, editors, Multiparameter
Bifurcation Theory. American Mathematical Society, 1986.
- 220
-
J. DAMON.
-equivalence and the equivalence of sections of images
and discriminants.
In D. Mond & J. Montaldi, editors, Singularity Theory and Its
Applications, Warwick 1989, Part I. Springer Verlag, 1991.
Lecture Notes in Mathematics 1462.
- 221
-
J. DAMON.
Equivariant bifurcations and morsifications for finite groups.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II. Springer Verlag, 1991.
Lecture Notes in Mathematics 1463.
- 222
-
J. DAMON.
Topological triviality and versality of and : II sufficient conditions and applications.
Nonlinearity, 5, 373-413, 1992.
- 223
-
E. N. DANCER.
On the Dirichlet problem for weakly non-linear elliptic partial
differential equations.
Proc. Roy. Soc. Edinburgh, 76A, 283-300, 1977.
- 224
-
E. N. DANCER.
On the existence of bifurcating solutions in the presence of
symmetries.
Proc. Roy. Soc. Edinburgh, 85A, 321-336, 1980.
- 225
-
E. N. DANCER.
Corrigendum: On the Dirichlet problem for weakly non-linear
elliptic partial differential equations.
Proc. Roy. Soc. Edinburgh, 89A, 15, 1981.
- 226
-
E. N. DANCER.
The G-invariant implicit function theorem in infinite dimensions.
Proc. Roy. Soc. Edinburgh, 92A, 13-30, 1982.
- 227
-
E. N. DANCER.
Perturbation of zeros in the presence of symmetries.
J. Austr. Math. Soc., 36, 106-125, 1984.
- 228
-
G. DANGELMAYR, B. FIEDLER, K. KIRCHGäSSNER & A. MIELKE.
Dynamics of nonlinear waves in dissipative systems: reduction,
bifurcation and stability, Pitman Res. Notes in Meth. 352.
Longman, Harlow, 1996.
- 229
-
G. DANGELMAYR & E. KNOBLOCH.
The Takens-Bogdanov bifurcation with O(2) symmetry.
Phil. Trans. Royal Soc. London, 322, 243-279, 1987.
- 230
-
G. DANGELMAYR & E. KNOBLOCH.
Hopf bifurcation with broken circular symmetry.
Nonlinearity, 4, 399-428, 1991.
- 231
-
G. DANGELMAYR & E. KNOBLOCH.
Parity breaking bifurcation in inhomogeneous systems.
Nonlinearity, 10(5), 1093-1114, 1997.
- 232
-
G. DANGELMAYR & M. WEGELIN.
Hopf bifurcation in anisotropic systems.
In Pattern Formation in Continuous and Coupled Systems, 33-47.
IMA, 1999.
- 233
-
S. B. S. D. DE CASTRO.
Mode Interactions with Symmetry.
PhD thesis, University of Warwick, 1993.
- 234
-
S. B. S. D. DE CASTRO.
The disappearance of the limit cycle in a mode interaction problem
with -symmetry.
Nonlinearity, 10, 4251-432, 1997.
- 235
-
DE OLIVEIRA & J. HALE.
Dynamic behaviour from bifurcation equations.
Tohuku Math. Journal, 32, 577-592, 1980.
- 236
-
J. DE OLIVIERA & J. HALE.
Dynamic behaviour from bifurcation equations.
Tôhuku Math. Journ., 32, 577-592, 1980.
- 237
-
A. DEBOUSSCHE.
Inertial manifolds and Sackers equation.
Diff. and Integral Equations, 3, 467-486, 1990.
- 238
-
K. DEIMLING.
Nichtlineare Gleichungen und Abbildungsgrade.
Springer-Verlag, Berlin Heidelberg, 1974.
- 239
-
M. DELLNITZ, M. FIELD, M. GOLUBITSKY, A. HOHMANN & J. MUA.
Cycling chaos.
Preprint, Univ. Houston, 200, 1-5, 1995.
- 240
-
M. DELLNITZ, M. GOLUBITSKY, A. HOHMANN & I. STEWART.
Spirals in scalar reaction-diffusion equations.
Preprint, Warwick, 18/95, 1-27, 1995.
- 241
-
M. DELLNITZ, M. GOLUBITSKY & I. MELBOURNE.
The mechanism of symmetry creation.
In K. B. Eugene Allgower & M. Golubitsky, editors, Bifurcation
and Symmetry, Int. Ser. Num. Math. 104, 99-110. Birkhäuser, 1992.
- 242
-
M. DELLNITZ, M. GOLUBITSKY & M. NICOL.
Symmetry of attractors and the Karhounen-Loeve decomposition.
Appl. Math. Sc., 100, 73-108, 1994.
- 243
-
M. DELLNITZ & C. HEINRICH.
Admissible symmetry increasing bifurcations.
Preprint, 1994.
- 244
-
M. DELLNITZ & A. HOHMANN.
The computation of unstable manifolds using subdivision and
continuation.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 245
-
M. DELLNITZ, J. MARSDEN, I. MELBOURNE & J. SCHEURLE.
Generic bifurcation of pendula.
In K. B. Eugene Allgower & M. Golubitsky, editors, Bifurcation
and Symmetry, Int. Ser. Num. Math. 104, 111-122. Birkhäuser, 1992.
- 246
-
M. DELLNITZ & I. MELBOURNE.
A note on the shadowing lemma and symmetric periodic points.
preprint, 1994.
- 247
-
M. DELLNITZ, I. MELBOURNE & J. MARSDEN.
Generic bifurcations of hamiltonian vector fields with symmetry.
Nonlinearity, 5, 979-996, 1992.
- 248
-
M. DELLNITZ & B. WERNER.
Computational methods for bifurcation problems with symmetries -
with special attention to steady state and Hopf bifurcation points.
J. Comput. Appl. Math., 26, 97-123, 1989.
- 249
-
B. DENG.
The sil'nikov problem, exponential expansion, strong
-lemma, -linearization, and homoclinic bifurcation.
J. Diff. Equat., 79, 189-231, 1989.
- 250
-
R. DEVANEY.
An Introduction to Chaotic Dynamical Systems.
Addison-Wesley, New York, 1989.
- 251
-
J. DIEUDONNé.
Foundations of Modern Analysis, Vol 1.
Academic Press, 1960.
- 252
-
J. DIEUDONNé.
Grundzüge der modernen Analysis, Bd 1.
VEB Deutscher Verlag der Wissenschaften, 1972.
- 253
-
B. DIONNE.
Planforms in three dimensions.
Preprint, (to appear).
- 254
-
B. DIONNE & M. GOLUBITSKY.
Planforms in two and three dimensions.
Zeitschr. Ang. Math. Phys., 43, 34-62, 1992.
- 255
-
B. DIONNE, M. GOLUBITSKY, M. SILBER & I. STEWART.
Time-periodic spatially-periodic planforms in euclidean equivariant
pde.
Preprint, 1993.
- 256
-
B. DIONNE, M. GOLUBITSKY & I. STEWART.
Coupled cells with internal symmetry I: Wreath products.
Nonlinearity, 9, 559-574, 1996.
- 257
-
B. DIONNE, M. GOLUBITSKY & I. STEWART.
Coupled cells with internal symmetry II: Direct products.
Nonlinearity, 9, 575-600, 1996.
- 258
-
G. L. DOS REIS.
Structural stability of equivariant vector fields on two manifolds.
Trans. Am. Math. Soc., 283(2), 633-643, 1984.
- 259
-
B. DUBROVIN, A. FOMENKO & S. NOVIKOV.
Modern Geometry-Methods and Applications.
Springer Verlag, 1984.
- 260
-
F. DUMORTIER.
Singularities of vector fields in the plane.
J. Diff. Equat., 23, 53-106, 1977.
- 261
-
F. DUMORTIER, R. ROUSSARIE & J. SOTOMAYOR.
Generic 3-parameter families of vector fields on the plane.
Unfolding a singularity with nilpotent linear part.
Ergod. Th. Dynam. Sys., 7, 375-413, 1987.
- 262
-
F. DUMORTIER, R. ROUSSARIE, J. SOTOMAYOR & H. Zo adek.
Bifurcations of Planar Vector Fields, Springer Lecture
Notes 1480.
Springer Verlag, 1991.
- 263
-
H. DYM & H. MCKEAN.
Trigonometric Series and Integrals.
Academic Press, New York, 1972.
- 264
-
M. EFENDIEV & W. WENDLAND.
Nonlinear Riemann-Hilbert problems for multiply connected domains.
Nonl. Anal., TMA, 27(1), 37-58, 1996.
- 265
-
L. ELIASSON.
Normal forms for Halmiltonian systems with Poisson commuting
integrals - elliptic case.
Comment. Math. Helvetici, 65, 4-35, 1990.
- 266
-
C. ELPHICK, E.TIRAPEGUI, M. BRACHET, P. COULLET & G. IOOSS.
A simple global characterization for normal forms of singular vector
fields.
Physica D, 29, 95-127, 1987.
- 267
-
I. R. EPSTEIN & M. GOLUBITSKY.
Symmetric patterns in linear arrays of coupled cells.
Chaos, 3, 1-5, 1993.
- 268
-
W. W. FARR & M. GOLUBITSKY.
Rotating chemimcal waves in the gray-scott model.
SIAM J. Appl. Math., 52, 181-221, 1992.
- 269
-
H. R. FARRAN & S. ROBERTSON.
Regular convex bodies.
J. London Math. Soc, 49, 371-384, 1994.
- 270
-
M. Fe kan.
A symmetry theorem for variational problems.
Nonl. Anal., TMA, 16(6), 499-506, 1991.
- 271
-
U. FEISTE, D. J. AS & A. ERHARD.
18 ghz all-optical frequency locking and clock recovery using a
self-pulsating two section DFB laser.
IEEE Photonics Technol. Lett., 6, 106-108, 1994.
- 272
-
N. FENICHEL.
Peristence and smoothness of invariant manifolds and flows.
Indiana Univ. Math. J., 21, 193-226, 1971/72.
- 273
-
F. FEUDEL, N. S. ANF B. GALANTI & S. RüDIGER.
Symmetry breaking bifurcations for the magnetohydrodynamic equation
with helical forcing.
Phys. Rev. E, 106-108, 1996.
- 274
-
B. FIEDLER.
Stabilitätswechsel und globale Hopf Verzweigung.
Dissertation, Universität Heidelberg, 1982.
- 275
-
B. FIEDLER.
An index for global Hopf bifurcation in parabolic systems.
J. Reine Angew. Math., 359, 1-36, 1985.
- 276
-
B. FIEDLER.
Global Hopf bifurcation of two-parameter flows.
Arch. Rat. Mech. Anal., 94, 59-81, 1986.
- 277
-
B. FIEDLER.
Global Bifurcation of Periodic Solutions with Symmetry, Lecture
Notes in Mathematics 1309.
Springer Verlag, 1990.
- 278
-
B. FIEDLER.
Global attractors of one-dimensional parabolic equations: sixteen
examples.
Tatra Mountains Math. Publ., 4, 67-92, 1994.
- 279
-
B. FIEDLER.
Do global attractors depend on their boundary conditions.
Doc. Math. J. DMV, 1, 215-228, 1996.
- 280
-
B. FIEDLER & S. HEINZE.
Homotopy invariants of time reversible orbits Part II:applications.
J. Diff. Equat., to appear, 1992.
- 281
-
B. FIEDLER & S. HEINZE.
Homotopy invariants of time reversible orbits Part I:theory.
J. Diff. Equat., to appear, 1992.
- 282
-
B. FIEDLER & S. LIEBSCHER.
Generic Hopf bifurcations from lines of equilibria without
parameters Part II:systems of viscous hyperbolic balance laws.
Preprint DAnSE, 41/98, 1998.
- 283
-
B. FIEDLER, S. LIEBSCHER & J. ALEXANDER.
Generic Hopf bifurcations from lines of equilibria without
parameters Part III: Binary oscillations.
Preprint DAnSE, 42/98, 1998.
- 284
-
B. FIEDLER, S. LIEBSCHER & J. ALEXANDER.
Generic Hopf bifurcations from lines of equilibria without
parameters Part I:theory.
Preprint DAnSE, 40/98, 1998.
- 285
-
B. FIEDLER & K. MISCHAIKOV.
Dynamics of bifurcations for variational problems with
O(3)-equivariance: A Conley index approach.
Arch. Rat. Mech. Anal., 119, 145-196, 1992.
- 286
-
B. FIEDLER & C. ROCHA.
Heteroclinic orbits of semilinear parabolic equations.
Preprint FU Berlin, 14 A 94, 1996.
- 287
-
B. FIEDLER & C. ROCHA.
Orbit equivalence of global attractors of semilinear parabolic
differential equations.
Preprint DAnSE, 14/96, 1996.
- 288
-
B. FIEDLER, B. SANDSTEDE, A. SCHEEL & C. WULFF.
Bifurcation from relative equilibria of noncompact group actions:
skew products, meanders and drifts.
Doc. Math. J. DMV, 1, 479-505, 1996.
- 289
-
B. FIEDLER & J. SCHEURLE.
Discretization of homoclinic orbits, rapid forcing and "invisible"
chaos.
Preprint, 1991.
- 290
-
B. FIEDLER & D. TURAEV.
Coalescence of reversible homoclinic orbits causes elliptic
resonance.
Preprint DAnSE, 25/95, 1995.
- 291
-
B. FIEDLER & D. TURAEV.
Normal forms, resonances, and meandering tip motions near relative
equilibria of euclidean group actions.
Preprint DAnSE, 14/97, 1997.
- 292
-
M. FIELD.
Transversality in G-manifolds.
Trans. Am. Math. Soc., 231(4), 429-450, 1977.
- 293
-
M. FIELD.
Equivariant dynamical systems.
Trans. Am. Math. Soc., 259(1), 185-205, 1980.
- 294
-
M. FIELD.
Equivariant dynamics.
In M. Golubitsky & J. Guckenheimer, editors, Multiparameter
Bifurcation Theory. American Mathematical Society, 1986.
- 295
-
M. FIELD.
Symmetry breaking for the weyl groups .
Preprint, 1-71, 1987.
- 296
-
M. FIELD.
Equivariant bifurcation theory and symmetry breaking.
J. Dyn. Diff. Equat., 1, 369-421, 1989.
- 297
-
M. FIELD.
Local structure of equivariant dynamics.
In M. Roberts & I. Stewart, editors, Singularity Theory and
its Applications, Warwick 1989, Part II. Springer Verlag, 1991.
Lecture Notes in Mathematics 1463.
- 298
-
M. FIELD.
Blowing up in equivariant bifurcation theory.
In P. Chossat, editor, Dynamics Bifurcation and Symmetry, New
trends and new tools, NATO ASI Series C 437, 111-122, Dordrecht,
1994. Kluwer Academic Publishers.
- 299
-
M. FIELD.
Geometric methods in bifurcation theory.
Fields Inst. Comm., 5, 181-208, 1996.
- 300
-
M. FIELD.
Lectures on bifurcations, dynamics and symmetry, Pitman
Research Notes in Mathematics Series 336.
Longman, 1996.
- 301
-
M. FIELD.
Symmetry Breaking for Compact Lie Groups, Memoirs of the
American Math. Society 120.
Amer. Math. Soc., 1996.
- 302
-
M. FIELD.
Generating sets for compact semisimple Liegroups.
Preprint, 1-10, 1997.
- 303
-
M. FIELD.
Heteroclinic cycles in symmetrically coupled systems.
In Pattern Formation in Continuous and Coupled Systems, 49-64.
IMA, 1999.
- 304
-
M. FIELD, M. GOLUBITSKY & M. NICOL.
density of symmetries of invariant sets with compact group
actions.
Preprint, (to appear).
- 305
-
M. FIELD, M. GOLUBITSKY & I. STEWART.
Bifurcations on hemispheres.
J. Nonl. Sc., 1, 201-223, 1991.
- 306
-
M. FIELD, I. MELBOURNE & M. NICOL.
Symmetric attractors for diffeomorphism and flows I.
Proc. London Math. Soc. III Series, 72(3), 657-696, 1996.
- 307
-
M. FIELD, I. MELBOURNE & M. NICOL.
Symmetric attractors for diffeomorphism and flows II.
Preprint, (to appear).
- 308
-
M. FIELD & W. PARRY.
Stable ergodicity of skew extensions by compact lie groups.
Preprint, 1-25, 1997.
- 309
-
M. FIELD & R. W. RICHARDSON.
Symmetry breaking and the maximal subgroup conjecture.
Arch. Rat. Mech. Anal., 105(1), 61-94, 1989.
- 310
-
M. FIELD & R. W. RICHARDSON.
Symmetry breaking in equivariant bifurcation problems.
Bull. Am. Math. Soc, 22, 79-84, 1990.
- 311
-
M. FIELD & R. W. RICHARDSON.
Symmetry breaking and branching patterns in equivariant bifurcation
theory, I.
Arch. Rat. Mech. Anal., 118, 297-348, 1992.
- 312
-
M. FIELD & R. W. RICHARDSON.
Symmetry breaking and branching patterns in equivariant bifurcation
theory, II.
Arch. Rat. Mech. Anal., 120, 147-190, 1992.
- 313
-
M. FIELD & J. W. SWIFT.
Stationary bifurcation to limit cycles and heteroclinic cycles.
Nonlinearity, 4, 101-1043, 1991.
- 314
-
E. R. FLEDDERUS & E. VAN GROESEN.
Hamiltonian perturbation theory for concentrated structures in
inhomogeneous mediafamilies of quasiperiodic motions in dynamical systems
depending on parameters.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 315
-
D. FLOCKERZI.
Bifurcation of Periodic Solutions from an Equilibrium Point.
PhD thesis, Univ. Würzburg, 1979.
- 316
-
C. FOIAS, B. NICOLAENKO, G. SELL & R. TEMAM.
Inertial manifolds for the Kuramoto-Shivashinski equation and an
estimate of their lowest dimension.
J. Math. Pure et Appl., 67, 197-226, 1988.
- 317
-
C. FOIAS, G. SELL & R. TEMAM.
Inertial manifolds for nonlinear evolution equations.
J. Diff. Equat., 73, 309-353, 1988.
- 318
-
A. FRIEDMAN.
Partial Differential Equations of Parabolic Type.
Prentice Hall, 1964.
- 319
-
A. FRIEDMAN.
Partial Differential Equations.
Holt, Rinehart and Winston, 1969.
- 320
-
R. FRIEDRICH & H. HAKEN.
Static, wavelike, and chaotic thermal convection in spherical
geometries.
Physical Rev. A, 34, 2100-2120, 1986.
- 321
-
G. FRIESECKE & J. WATTIS.
Existence theorem for solitary waves on lattices.
Comm. Math. Phys., 161, 391-418, 1994.
- 322
-
H. FUJII, M. MIMURA & Y. NISHIURA.
A picture of the global bifurcation diagram in ecological interacting
and diffusing systems.
Physica D, 5, 1-42, 1967.
- 323
-
F. B. FULLER.
An index of fixed point type for periodic orbits.
Amer. J. Math, 89, 133-148, 1967.
- 324
-
W. FULTON & J. HARRIS.
Representation Theory, Graduate Texts in Mathematics 129.
Springer, 1991.
- 325
-
J. E. FURTER.
Hopf bifurcation at non-semisimple eigenvalues: A singularity theory
approach.
In K. B. Eugene Allgower & M. Golubitsky, editors, Bifurcation
and Symmetry, Int. Ser. Num. Math. 104, 135-146. Birkhäuser, 1992.
- 326
-
J.-E. FURTER, A. M. SITTA & I. STEWART.
Singularity theory and equivariant bifurcation problems with
parameter symmetry.
Math. Proc. Cambridge Phil. Soc., 120, 547-578, 1996.
- 327
-
J.-E. FURTER, A. M. SITTA & I. STEWART.
Algebraic path formulation for equivariant bifurcation problems.
Math. Proc. Cambridge Phil. Soc., 124(2), 275-304, 1998.
- 328
-
G. GAETA.
Bifurcation and symmetry breaking.
Phys. Rep., 189(1), May 1990.
- 329
-
G. GAETA.
Bifurcation theory and nonlinear symmetries.
Nonl. Anal., TMA, 17(9), 825-831, 1991.
- 330
-
T. GAFFNEY.
New methods in the classification theory of bifurcation problems.
In M. Golubitsky & J. Guckenheimer, editors, Multiparameter
Bifurcation Theory, Providence, R. I., 1986. American Mathematical Society.
- 331
-
Gap.
Program.
- 332
-
R. GARDNER.
An invariant manifold approach of electrophorebic traveling waves.
J. Dyn. Diff. Equat., 5, 599-606, 1993.
- 333
-
K. GATERMANN.
Computation of bifurcation graphs.
In G. Allgower, K. Georg & Miranda, editors, Exploiting
Symmetry in Applied and Numerical Analysis, Lectures in Applied
Mathematics 29, 187-201, 1993.
- 334
-
K. GATERMANN.
Semi-invariants, equivariants and algorithms.
Appl. Algebra Eng. Comm. Comput., 7(2), 105-124, 1996.
- 335
-
K. GATERMANN.
Testing for -symmetry with a recursive detective.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 336
-
K. GATERMANN.
Computer Algebra methods for Equivariant Dynamical Systems.
Habilitationsschrift, Freie Universität Berlin, 1998.
- 337
-
K. GATERMANN & F. GUYARD.
Gröbner bases, invariant theory and equivariant dynamics.
Preprint ZIB, SC 96-37, 1-32, 1996.
- 338
-
K. GATERMANN & A. HOHMANN.
Symbolic exploitation of symmetry in numerical pathfollowing.
Impact of Computing in Science and Engineering, 3, 330-365,
1991.
- 339
-
K. GATERMANN & R. LAUTERBACH.
Automatic classification of normal forms.
Nonl. Anal., TMA, 34, 157-190, 1998.
- 340
-
K. GATERMANN & B. WERNER.
Secondary Hopf bifurcation caused by steady state mode interaction.
In Pattern formation: symmetry methods and applications, Fields
Inst. Commun. 5, 209-224, 1996.
- 341
-
Z. GE, H. P. KRUSE, J. E. MARSDEN & C. SCOVEL.
The convergence of Hamiltonian structures in the shallow water
approximation.
Can. Appl. Math. Quart., 3(3), 277-302, 1995.
- 342
-
K. GEBA, W. KRAWCWICZ & J. WU.
An equivariant degree with applications to symmetric bifurcation
problems. i construction of the degree.
Proc. London Math. Soc., III. Ser., 69(2), 377-398, 1994.
- 343
-
C. GEIGER, D. RODRIGUEZ & G. DANGELMAYR.
Near-onset convection patterns in the spherical Bénard problem
with critical.
preprint, 1996.
- 344
-
M. GEL'FAND, R. A. MINLOS & Z. Y. SHAPIRO.
Representayion of the Rotation and Lorentz groups and their
applications.
Pergamon Press, 1963.
- 345
-
U. GERDTS, J. V. STAMM, T. BUZUG & G. PFISTER.
Axisymmetric time dependent flow in the Taylor-Couettesystem.
Phys. Reviews, 49(5), 4019-4026, 1993.
- 346
-
M. GHIL & S. CHILDRESS.
Topics in Geophysical Fluid Dynamics: Athmospheric Dynamics,
Dynamo Theory, and Climate Dynamics, Applied Math. Sciences 39.
Springer Verlag, New York, 1986.
- 347
-
B. GIDAS, W.-M. NI & L. NIRENBERG.
Symmetry and related properties via the maximum principle.
Comm. Math. Phys., 68, 209-243, 1979.
- 348
-
D. GILBARG & N. S. TRUDINGER.
Elliptic Partial Differential Equations of Second Order,
Grundl. d. math. Wiss. 224.
Springer Verlag, Berlin Heidelberg New York Tokyo, 1983.
- 349
-
D. GILLIS & M. GOLUBITSKY.
A formula for a symmetry detective.
Preprint, Dep. Math. Univ. Houston, UH/MD-222, 1-9, 1996.
- 350
-
S. GOLDBERG.
Unbounded linear operators. Theory and applications.
Dover Publications, New York, 1985.
- 351
-
M. GOLUBITSKY.
An introduction to catastrophe theory and its applications.
SIAM Reviews, 20(2), 352-387, 1978.
- 352
-
M. GOLUBITSKY.
The Bénard problem, symmetry, and the lattice of isotropy
subgroups.
In C. P. Bruter et al., editors, Bifurcation Theory, Mechanics
and Physics, Dortrecht Boston Lancaster, 1983. D. Reidel.
- 353
-
M. GOLUBITSKY & V. GUILLEMIN.
Stable Mappings and Their Singularities, Graduate Texts in
Mathematics 14.
Springer Verlag, Heidelberg New York Berlin, 1973.
- 354
-
M. GOLUBITSKY, M. KRUPA & C. LIM.
Time-reversibility and particle sedimantation.
SIAM J. Math. Anal., 51(1), 49-72, 1991.
- 355
-
M. GOLUBITSKY, M. KRUPA & A. VANDERBAUWHEDE.
Secondary bifurcations in symmetric systems.
In Proc. EQUADIFF. Marcel Dekker, 1989.
- 356
-
M. GOLUBITSKY & W. F. LANGFORD.
Classification and unfolding of degenerate Hopf bifurcation.
J. Diff. Equat., 41, 375-415, 1981.
- 357
-
M. GOLUBITSKY & W. F. LANGFORD.
Pattern formation and flow between counterrotating cylinders.
Physica D, 32, 362-392, 1988.
- 358
-
M. GOLUBITSKY, V. G. LEBLANC & I. MELBOURNE.
Meandering of the sprial tip, an alternative approach.
J. Nonl. Sc., 7(6), 557-586, 1997.
- 359
-
M. GOLUBITSKY & J. MARSDEN.
The Morse lemma in infinite dimensions via singularity theory.
SIAM J. Math. Anal., 14, 1037-1044, 1983.
- 360
-
M. GOLUBITSKY & M. ROBERTS.
A classification of degenerate Hopf bifurcations with O(2)
symmetry.
J. Diff. Equat., 69, 216-264, 1983.
- 361
-
M. GOLUBITSKY & D. G. SCHAEFFER.
Imperfect bifurcation in the presence of symmetry.
Comm. Math. Phys., 67, 205-232, 1979.
- 362
-
M. GOLUBITSKY & D. G. SCHAEFFER.
A theory for imperfect bifurcation via singularity theory.
Comm. Pure and Appl. Math., 32, 21-98, 1979.
- 363
-
M. GOLUBITSKY & D. G. SCHAEFFER.
Bifurcation with O(3)-symmetry including applications to the
Bénard problem.
Comm. Pure and Appl. Math., 35, 81-111, 1982.
- 364
-
M. GOLUBITSKY & D. G. SCHAEFFER.
A discussion of symmetry and symmetry breaking.
Proc. Symp. Pure Math., 40, 499-515, 1982.
- 365
-
M. GOLUBITSKY & D. G. SCHAEFFER.
Singularities and Groups in Bifurcation Theory, Vol. I.
Springer Verlag, Heidelberg New York Berlin, 1985.
- 366
-
M. GOLUBITSKY & I. STEWART.
Hopf bifurcation in presence of symmetry.
Arch. Rat. Mech. Anal., 87(2), 107-165, 1985.
- 367
-
M. GOLUBITSKY & I. STEWART.
Hopf bifurcation with dihedral group symmetry: Coupled nonlinear
oscillators.
In M. Golubitsky & J. Guckenheimer, editors, Multiparameter
Bifurcation Theory, Providence, R. I., 1986. American Mathematical Society.
- 368
-
M. GOLUBITSKY & I. STEWART.
Symmetry and stability in Taylor-Couette flow.
SIAM J. Math. Anal., 17(2), 249-288, 1986.
- 369
-
M. GOLUBITSKY & I. STEWART.
Generic bifurcation of Hamiltonian systems with symmetry.
phyd, 24, 391-405, 1987.
- 370
-
M. GOLUBITSKY & I. STEWART.
An algebraic criterion for Hopf bifurcation with symmetry.
Proc. Roy. Soc. London, 440, 727-732, 1993.
- 371
-
M. GOLUBITSKY & I. STEWART.
Symmetry and pattern formation in coupled cell networks.
In Pattern Formation in Continuous and Coupled Systems, 65-82.
IMA, 1999.
- 372
-
M. GOLUBITSKY, I. STEWART & B. DIONNE.
Coupled cells: Wreath products and direct products.
Preprint, (to appear).
- 373
-
M. GOLUBITSKY, I. STEWART & D. G. SCHAEFFER.
Singularities and Groups in Bifurcation Theory, Vol. II.
Springer Verlag, Heidelberg New York Berlin, 1988.
- 374
-
M. GOLUBITSKY, J. SWIFT & E. KNOBLOCH.
Symmetries and pattern selection in Rayleigh-Bénard convection.
Physica D, 10, 249-276, 1984.
- 375
-
R. E. GOMORY.
Trajectories tending to a critical point in 3-space.
Ann. Math, 61, 140-153, 1955.
- 376
-
H. G¨ORTLER, K. KIRCHG¨AßNER & P. SORGER.
Branching solutions of the Bénard problem.
In Problems of Hydrodynamics and Continuum Mechanics, to the
60th birthday of the Academician L. I. Sedov. Nauka, 1969.
- 377
-
D. GOTTLIEB & S. A. ORSZAG.
Numerical analysis of spectral method: theory and applications,
CBMS-NSF Regional Conf. Series in Applied Math 26.
SIAM, Philadelphia, 1977.
- 378
-
W. GOVAERTS.
Numerical Methods for Bifurcations of Dynamical Equilibria.
SIAM Publications, Philadelphia, 2000.
- 379
-
M. GRAYSON, C. PUGH & M. SHUB.
Stably ergodic diffeomorphisms.
Ann. Math, 140, 167-187, 1994.
- 380
-
M. GRILLAKIS, J. SHATAH & W. STRAUSS.
Stability theory of solitary waves in the presence of symmetry, II.
J. Funct. Anal., 94, 308-348, 1990.
- 381
-
M. GRINFELD & A. NOVICK-COHEN.
The viscous Cahn-Hilliard equation: Morse decomposition and
structure of the global attractor.
Preprint, 1-36, 1996.
- 382
-
L. C. GROVE & C. T. BENSON.
Finite Reflection Groups, Graduate Texts in Mathematics
99.
Springer Verlag, Heidelberg New York Berlin, 2 edition, 1985.
- 383
-
J. GUCKENHEIMER.
Towards a global theory of singularly perturbed dynamical systems.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 384
-
J. GUCKENHEIMER & P. HOLMES.
Nonlinear Oscillations, Dynamical Systems and Bifurcations of
Vector Fields, Applied Mathematical Sciences 42.
Springer Verlag, Heidelberg New York Berlin, 1983.
- 385
-
J. GUCKENHEIMER & P. HOLMES.
Structurally stable heteroclinic cycles.
Math. Proc. Cambridge Phil. Soc., 103, 189-192, 1988.
- 386
-
J. GUCKENHEIMER & P. WORFOLK.
Dynamical systems: Some computational problems.
In D. Schlomiuk, editor, Bifurcations and Periodic Orbits of
vector Fields, 241-277, Dordrecht Boston London, 1993. Kluwer Academic
Publishers.
- 387
-
V. GUILLEMIN & A. POLLACK.
Differential Topology.
Prentice Hall, Inc., Englewood Cliffs, N.J., 1974.
- 388
-
M. E. GURTIN & P. PODIO-GIUDUGLI.
On the formulation of mechanical balance laws for structured
continua.
Zeitschr. Ang. Math. Phys., 43, 181-190, 1992.
- 389
-
F. GUYARD.
Interactions de mode dans les problèmes de bifurcation avec
symétry sphérique.
PhD thesis, Université de Nice Sophia - Antipolis, 1994.
- 390
-
F. GUYARD.
On the geometry of relative periodic orbits.
in preparation, 1999.
- 391
-
F. GUYARD & R. LAUTERBACH.
Forced symmetry breaking perturbations for periodic solutions.
Nonlinearity, 10, 291-310, 1997.
- 392
-
F. GUYARD & R. LAUTERBACH.
Forced symmetry breaking: theory and applications.
In Pattern Formation in Continuous and Coupled Systems,
121-135. IMA, 1999.
- 393
-
H. HAAF, M. ROBERTS & I. STEWART.
A Hopf bifurcation with spherical symmetry.
Zeitschr. Ang. Math. Phys., 43(5), 793-826, 1992.
- 394
-
J. HALE & G. RAUGEL.
Reaction-diffusion equations in thin domains.
Proc. Roy. Soc. Edinburgh, 125(2), 283-327, 1995.
- 395
-
J. HALE & G. RAUGEL.
A reaction-diffusion equations on athin l-shaped domain.
J. Math. Pure et Appl., 9(4), 33-95, 1996.
- 396
-
J. HALE & P. TABOAS.
Interaction of damping and forcing in a second order equation.
Nonl. Anal., TMA, 2, 77-84, 1978.
- 397
-
J. K. HALE.
Ordinary Differential Equations.
John Wiley & Sons, Coorp, 1969.
- 398
-
J. K. HALE.
Functional Differential Equations, Applied Math. Sciences
3.
Springer Verlag, 1971.
- 399
-
J. K. HALE.
Generic bifurcation with applications.
In R. Knops, editor, Nonlinear Analysis and Mechanics:
Heriot-Watt Symposium, Vol.I., Research Notes in Math. 17, 59-157,
London, 1977. Pitman.
- 400
-
J. K. HALE.
Introduction to dynamic bifurcation.
In Bifurcation theory and applications, Lect. 2nd Sess. CIME,
Montecatini/Italy 1983, Lect. Notes in Math. 1057. Springer Verlag,
1984.
- 401
-
J. K. HALE.
Asymptotoc behaviour of dissipative systems, Math. Surv. and
Monographs 25.
Am. Math. Soc., 1988.
- 402
-
J. K. HALE & S. M. V. LUNEL.
Introduction to Functional Differential Equations, Applied
Math. Sciences 99.
Springer Verlag, 1993.
- 403
-
M. HAMERMESH.
Group theory and its applications to physical problems.
Addison-Wesley, 1962.
- 404
-
P. HARTMAN.
Ordinary Differential Equations.
John Wiley & Sons, Coorp., 1964.
- 405
-
T. J. HEALEY.
A group theoretic approachmto computational bifurcation problems with
symmetry.
Comp. Meth. Appl. Mech. Eng., 67, 257-295, 1988.
- 406
-
T. J. HEALEY.
Large rotatory oscillations of tamsversely isotropic rods:
spatio-temporal symmetry-breaking bifurcation.
SIAM J. Math. Anal., 52(4), 1120-1135, 1992.
- 407
-
T. J. HEALEY & H. KIELHöFER.
Preservation of nodal structure on global bifurcating solutions
branches of elliptic equations with symmetry.
Preprint, 1991.
- 408
-
T. J. HEALEY & H. KIELHöFER.
Symmetry and nodal properties in the global analysis of quasi-linear
elliptic equations.
Arch. Rat. Mech. Anal., 113, 299-311, 1991.
- 409
-
T. J. HEALEY & H. KIELHöFER.
Symmetry and preservation of nodal structure in elliptic equations
satisfying fully nonlinear Neumann boundary conditions.
In K. B. Eugene Allgower & M. Golubitsky, editors, Bifurcation
and Symmetry, Int. Ser. Num. Math. 104, 169-178. Birkhäuser, 1992.
- 410
-
T. J. HEALEY & H. KIELHöFER.
Hidden symmetry of fully nonlinear boundary conditions in elliptic
equations: Global bifurcation and nodal structure.
Res. d. Math., (to appear).
- 411
-
T. J. HEALEY & H. KIELHöFER.
Positivity of global branches of fully nonlinear elliptic boundary
value problems.
Proc. Am. Math. Soc., (to appear).
- 412
-
D. HENRY.
Geometric Theory of Semilinear Parabolic Equations, Lecture
Notes in Mathematics 840.
Springer Verlag, 1981.
- 413
-
D. HENRY.
How to remember the Sobolev inequalities.
In D. de Figueiredo & C. H"onig, editors, Differential
Equations, 97-109. Springer Verlag, 1982.
- 414
-
D. HENRY.
Some infinite dimensional Morse-Smalesystems defined by parabolic
partial differential equations.
J. Diff. Equat., 59, 1985.
- 415
-
P. HESS & P. POLáCIK.
Symmetry and convergence properties for non-negative solutions of
nonautonomous reaction-diffusion problems.
Proc. Roy. Soc. Edinburgh, 124A, 573-587, 1994.
- 416
-
H. HEUSER.
Gewöhnliche Differentialgleichungen.
B. G. Teubner, 1979.
- 417
-
E. HEWITT & K. A. ROSS.
Abstract Harmonic Analysis I, Grundl. d. math. Wiss. 115.
Springer Verlag, 1963.
- 418
-
E. HEWITT & K. A. ROSS.
Abstract Harmonic Analysis II, Grundl. d. math. Wiss.
152.
Springer Verlag, 1970.
- 419
-
E. HEWITT & K. STROMBERG.
Real and abstract analysis.
Springer Verlag, 1969.
- 420
-
J. G. HEYWOOD & R. RANNACHER.
On the question of turbulence modeling by approximate inertial
manifolds and the nonlinear Galerkin method.
Preprint, 1-20, 1992.
- 421
-
D. HILBERT.
Über die vollen invariantensysteme.
Math. Ann., 42, 313-373, 1893.
- 422
-
M. W. HIRSCH, C. C. PUGH & M. SHUB.
Invariant Manifolds, Lecture Notes in Mathematics 583.
Springer Verlag, 1977.
- 423
-
P. HIRSCHBERG & E. KNOBLOCH.
Sil`nikov-Hopf bifurcation.
Physica D, 62, 202-216, 1993.
- 424
-
P. HIRSCHBERG & E. KNOBLOCH.
Complex dynamics in the Hopf bifurcation with broken translational
symmetry.
Physica D, 90, 56-78, 1996.
- 425
-
P. HIRSCHBERG & E. KNOBLOCH.
Mode interactions in large aspect ratio convection.
J. Nonl. Sc., 7(6), 537-556, 1997.
- 426
-
J. HOFBAUER.
Heteroclinic cycles on the simplex.
In Proc. Int. Conf. Nonl. Osc., Budapest, 1987. Janos Bolyai
Math. Soc.
- 427
-
J. HOFBAUER.
Heteroclinic cycles in ecological differential equations.
Tatra Mt Math. Publ., 4, 105-116, 1994.
- 428
-
J. HOFBAUER & K. SIGMUND.
The theory of evolution and dynamical systems. Mathematical
aspects of selection, London Math. Soc. Student Texts 7.
Cambridge Univ. Press, 1988.
- 429
-
P. J. HOLMES & J. E. MARSDEN.
A partial diferential equation with infinitely many periodic orbits:
chaotic oscillations of a forced beam.
Arch. Rat. Mech. Anal., 76, 135-166, 1981.
- 430
-
P. J. HOLMES & J. E. MARSDEN.
Horseshoes in perturbations of Hamiltonian systems with two degrees
of freedom.
Comm. Math. Phys., 82, 523-544, 1982.
- 431
-
P. J. HOLMES & J. E. MARSDEN.
Melnikov's method and Arnold diffusion for perturbations of
integrable Hamiltonian systems.
J. Math. Phys., 23, 669-675, 1982.
- 432
-
P. J. HOLMES & J. E. MARSDEN.
Melnikov's method and Arnold diffusion for Hamiltonian systems on
Lie groups.
Indiana Univ. Math. J., 32, 273-310, 1983.
- 433
-
A. J. HOMBURG.
Some global aspects of homoclinic Bifurcations of Vector
fields.
PhD thesis, Rijksuniversiteit Groningen, 1993.
- 434
-
E. HOPF.
Abzweigung einer periodischen Lösung von einer stationären
Lösung eines Differentialsystems.
Ber. Math. Phys. Kl. d. Sächs. Akad. Wiss., Leipzig, 94,
3-22, 1942.
- 435
-
H. HOPF.
Lectures on Differential Geometry in the Large.
Stanford University, 1956.
- 436
-
C. HOU & M. GOLUBITSKY.
An example of symmetry breaking to heteroclinic cycles.
J. Diff. Equat., 133, 30-48, 1997.
- 437
-
S. L. HOYLE.
Local solution manifolds for nonlinear equations.
Nonl. Anal., TMA, 4, 283-295, 1980.
- 438
-
X. HUANG.
On instability of minimal foliations for a variational problem on
.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 439
-
B. R. HUNT, T. SAUER & J. A. YORKE.
Prevalence: a translation invariant "almost every" on infinite
dimensional spaces.
Bull. Am. Math. Soc, 27, 217-238, 1993.
- 440
-
E. IHRIG & M. GOLUBITSKY.
Pattern selection with O(3)-symmetry.
Physica 13D, 1-33, 1984.
- 441
-
D. B. INGHAM & J. A. RITCHIE.
The motion of a semi-infinite bubble betweem two parallel plates.
Zeitschr. Ang. Math. Phys., 43, 191-206, 1992.
- 442
-
G. IOOSS.
Bifurcations of maps and applications, Math. Studies 36.
Elsevier-North-Holland, Amsterdam, 1979.
- 443
-
G. IOOSS.
Bifurcation and transition to turbulence in hydrodynamics.
In L. Salvadore, editor, Lectures given at the
1983 Session of the Centro Internationale Matematico Estivo held at
Montecatini, Italy, June 24 - Luly 2, 1983, Springer Lecture Notes
1057, Berlin, 1984. Springer Verlag.
- 444
-
G. IOOSS.
Secondary bifurcations of Taylor vortices into wavy inflow or
outflow boundaries.
J. Fluid Mech., 173, 273-288, 1986.
- 445
-
G. IOOSS & M. ADELMEYER.
Topics in Bifurcation Theory and Applications, Adv. Ser. Nonl.
Dyn. 3.
World Scientific, Singapore, 1992.
- 446
-
G. IOOSS & D. JOSEPH.
Elementary Stability and Bifurcation Theory.
Springer, New York, 1981.
- 447
-
G. IOOSS & K. KIRCHGäSSNER.
Travelling waves in a chain of coupled nonlinear oscillators.
Preprint INLN, 99.18, 1999.
- 448
-
G. IOOSS & A. MIELKE.
Time periodic Ginzberg-Landau equations for one dimensional
patterns with large wave length.
Zeitschr. Ang. Math. Phys., 43, 125-138, 1992.
- 449
-
G. IOOSS & M. ROSSI.
Hopf bifurcation in the presence of spherical symmetry: Analytical
results.
SIAM J. Math. Anal., 20(3), 511-532, 1989.
- 450
-
V. IUDOVICH.
Secondary flows and fluid instability between rotating cylinders.
J.Appl.Math.Mech. (PMM), 30, 688-698, 1966.
- 451
-
J. IZE.
Bifurcation theory for Fredholm operators.
Mem. Am. Math. Soc., 174, 1976.
- 452
-
J. IZE.
Periodic solutions for nonlinear parabolic equations.
Comm. in P.D.E., 12, 1299-1387, 1979.
- 453
-
J. IZE.
Introduction to bifurcation theory.
In D. de Figueiredo & C. H"onig, editors, Differential
Equations, 145-202, Berlin Heidelberg New York, 1982. Springer Verlag.
- 454
-
J. IZE.
Obstruction theory and multiparameter Hopf bifurcation.
Trans. Am. Math. Soc., 289, 757-292, 1985.
- 455
-
J. IZE.
Necessary and sufficient conditions for multiparameter bifurcation.
Rocky Mount. J. of Math., 18, 305-337, 1988.
- 456
-
J. IZE.
Topological bifurcation.
preprint, 1993.
- 457
-
J. IZE.
Connected sets in multiparameter bifurcation.
Nonl. Anal., TMA, 30(6), 3763-3774, 1997.
- 458
-
J. IZE & A. VIGNOLI.
Equivariant degree for abelian actions Part I: Equivariant homotopy
groups.
Top. Meth. in Nonl. Anal, 2(2), 367-413, 1993.
- 459
-
J. IZE & A. VIGNOLI.
Equivariant degree for abelian actions Part II: Index computations.
Top. Meth. in Nonl. Anal, 7(2), 369-313, 1996.
- 460
-
M. IZYDOREK & S. RYBICKI.
On the number of bifurcation branches of -Maps.
J. Math. Anal. Appl., 168(1), 218-224, 1991.
- 461
-
M. IZYDOREK & S. RYBICKI.
On the number of branches of bifurcation points.
Kodai Math. J., 15, 122-133, 1992.
- 462
-
J. A. JACOBS.
Reversals of the Earth's Magnetic Field.
Cambridge University Press, second edition, 1994.
- 463
-
W. JäGER & K. SCHMITT.
Symmetry breaking in semilinear elliptic problems.
In P. Rabinowitz & E. Zehnder, editors, Analysis Etcetera,
New York, 1990. Acad. Press.
- 464
-
W. JAHNKE, W. SKAGGS & A. WINFREE.
Chemical vortex dynamics in the belousov-zhabotinskii reaction and in
the two-variable Oregonator model.
J. Chem. Phys., 93, 740-749, 1989.
- 465
-
K. JäNICH.
Differenzierbare G-Mannigfaltigkeiten, Lecture Notes in
Mathematics 59.
Springer Verlag, Berlin, 1968.
- 466
-
V. JANOWSKY & P. PLECHAC.
Local numerical analysis of hopf bifurcation.
preprint, 1994.
- 467
-
M. V. JARIC.
Nonmaximal isotropy subgroups and phase transitions.
phyrevl, 51(23), 2073-2076, 1983.
- 468
-
M. V. JARIC, L. MICHEL & R. T. SHARP.
Zeros of coveriant vector fields for the point groups: invariant
formulation.
J. Physique, 45(1), 1-27, 1984.
- 469
-
P. JUNG, G. GRAY, R. ROY & P. MANDEL.
Scaling law for dynamical hysteresis.
preprint, 1990.
- 470
-
F. KAMBER & P. TONDEUR.
Flat bundles and characteristic classes of group-representation.
Amer. J. Math, 89, 857-886, 1967.
- 471
-
T. KATO.
Perturbation Theory for Linear Operators, Grundl. d. math.
Wiss. 132.
Springer Verlag, 1976.
- 472
-
A. KATOK & B. HASSELBLATT.
Introduction to the Modern Theory of Dynamical Systems, Encycl.
Math. Appl. 54.
Cambridge Univ. Press, 1995.
- 473
-
H. KELLER, J. KELLER & E. REISS.
Buckled states of circular plates.
Quarterly J. Mech. Appl. Math., 20, 55-65, 1962.
- 474
-
J. B. KELLER & S. ANTMAN.
Bifurcation Theory and Nonlinear Eigenvalue Problems.
W. A. Benjamin, Inc., 1969.
- 475
-
A. KELLEY.
The stable, center-stable, center, center-unstable and unstable
manifolds.
J. Diff. Equat., 3, 546-570, 1967.
- 476
-
I. G. KEVREKIDIS, B. NICOLAENKO & J. SCOVEL.
Back to the saddle: a computer-assisted study of the
kuramoto-shivashinsky euation.
SIAM J. Appl. Math., 50(3), 760-700, 1989.
- 477
-
H. KIELHöFER.
Stability and semilinear evolution equations in Hilbert space.
Arch. Rat. Mech. Anal., 57, 150-165, 1974.
- 478
-
H. KIELHöFER.
Degenerate bifurcation at simple eigenvalues and stability of
bifurcating solutions.
J. Funct. Anal., 38, 416-441, 1979.
- 479
-
H. KIELHöFER.
Generalized Hopf bifurcation in Hilbert space.
Math. Meth. Appl. Sci., 1, 498-513, 1979.
- 480
-
H. KIELHöFER.
Hopf bifurcation at multiple eigenvalues.
Arch. Rat. Mech. Anal., 69, 53-83, 1979.
- 481
-
H. KIELHöFER.
Floquet exponents of bifurcating orbits.
Nonl. Anal., TMA, 6, 571-583, 1982.
- 482
-
H. KIELHöFER.
Multiple eigenvalue bifurcation for Fredholm operators.
J. Reine Angew. Math., 358, 104-124, 1985.
- 483
-
H. KIELHöFER.
Interaction of periodic and stationary bifurcation from multiple
eigenvalues.
Math. Zeitschr., 192, 159-166, 1986.
- 484
-
H. KIELHöFER.
A bifurcation theorem for potential operators.
J. Funct. Anal., 77, 1-8, 1988.
- 485
-
H. KIELHöFER.
A global theorem on Hopf bifurcation with an eigenvalue zero.
Preprint, 1988.
- 486
-
H. KIELHöFER.
Smoothness of global positive branches of nonlinear elliptic problems
over symmetric domains.
Preprint, 1991.
- 487
-
H. KIELHöFER.
Smoothness and asymptotics of global positive branches of .
Zeitschr. Ang. Math. Phys., 43, 139-153, 1992.
- 488
-
H. KIELHöFER & P. KöTZNER.
Stable periods of a semilinear wave equation and bifurcation of
periodic solutions.
Zeitschr. Ang. Math. Phys., 38, 204-212, 1987.
- 489
-
H. KIELHöFER & R. LAUTERBACH.
The principle of reduced stability.
J. Funct. Anal., 53, 99-111, 1983.
- 490
-
G. KING & I. STEWART.
Phase space reconstruction for symmetric dynamical systems.
Physica D, 58, 216-228, 1992.
- 491
-
K. KIRCHGäSSNER.
Wave solutions of reversible systems and applications.
J. Diff. Equat., 45, 113-127, 1982.
- 492
-
K. KIRCHGäSSNER & P. SORGER.
Branching analysis for the Taylor problem.
Quarterly J. Mech. Appl. Math., 22, 183-210, 1969.
- 493
-
U. KIRCHGRABER.
Erratische Lösungen der periodisch gestörten Pendelgleichung.
Preprint, Math. Inst. der U. Würzburg, 88, 1-26, 1982.
- 494
-
U. KIRCHGRABER & K. PALMER.
Geometry in the Neighborhod of Invariant Manifolds of Maps and
Flows and Linearization, Research Notes in Mathematics 233.
Longman, 1990.
- 495
-
V. KIRK & M. SILBER.
A competition between heteroclinic cycles.
Nonlinearity, 7, 1605-1621, 1994.
- 496
-
P. KIRRMANN, G. SCHNEIDER & A. MIELKE.
The validity of modulation equations for extended systems with cubic
nonlinearities.
Proc. Roy. Soc. Edinburgh, 122A, 85-91, 1992.
- 497
-
P. KITAUCHI, K. ARAKI & S. KIDA.
Flow structure of thermal convection in a rotating spherical shell.
Nonlinearity, 10, 885-904, 1997.
- 498
-
G. H. KNIGHTLY & SATHER.
Buckled states of a spherical shell under uniform external pressure.
Arch. Rat. Mech. Anal., 72, 315-380, 1980.
- 499
-
E. KNOBLOCH, A. MAHALOV & J. E. MARSDEN.
Normal forms for three-dimensional parametric instabilities in ideal
hydrodynamics.
Physica D, 73, 49-81, 1994.
- 500
-
E. KNOBLOCH & J. MOEHLIS.
Burst mechanisms in hydrodynamics.
In Debnath, L. (ed.) et al., Nonlinear instability, chaos and
turbulence. Vol. II. Adv. Fluid Mech. 25, 237-287 . WIT Press.,
Southampton, 2000.
- 501
-
E. KNOBLOCH & M. SILBER.
Hopf bifurcation with -symmetry.
In E. A. et al., editor, Bifurcation and Symmetry, ISNM
104, 241-252, 1992.
- 502
-
H.-W. KNOBLOCH & F. KAPPEL.
Gew"ohnliche Differentialgleichungen.
Teubner, 1974.
- 503
-
J. KNOBLOCH.
Vector fields with symmetries.
Preprint, 1991.
- 504
-
J. KNOBLOCH & A. VANDERBAUWHEDE.
Hopf bifurcation at k-fold resonances in equivariant reversible
systems.
In P. Chossat, editor, Dynamics Bifurcation and Symmetry, New
trends and new tools, NATO ASI Series C 437, 167-180, Dordrecht,
1994. Kluwer Academic Publishers.
- 505
-
J. KNOBLOCH & A. VANDERBAUWHEDE.
A general reduction method for periodic solutins in conservative and
reversible systems.
J. Dyn. and Diff. Equat., 8(1), 71-102, 1996.
- 506
-
J. KNOBLOCH & A. VANDERBAUWHEDE.
Hopf bifurcation at k-fold resonances in conservative systems.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 507
-
M. K nig.
Une exploration des espaces d'orbites de groupes de Lie compacts
et de leurs applications à l'étude des bifurcations avec
symétrie.
Phd-thesis, Université de Nice-Sophia Antipolis, France, 1995.
- 508
-
M. K nig.
Une exploration des espaces d'orbites des groupes de Lie
compacts et de leurs applications à l'étude des bifurcations avec
symétrie.
Thèse de cycle, Université de Nice,
France, 1995.
- 509
-
M. K nig.
Linearization of vector fields on the orbit space of the action of a
compact Lie group.
Math. Proc. Cambridge Phil. Soc., 121, 401-424, 1996.
- 510
-
M. K nig & P. CHOSSAT.
Caractérisation des bifurcations pour les champs de vecteur
éequivariants sous l'action d'un groupe de Lie compact.
C. R. Acad. Sci. Paris, Ser. I, (to appear), 1997.
- 511
-
E. KOSCHMIEDER.
Bénard cells and Taylor vortices, Cambridge Monographs on
Mechanics and Applied Maths.
Cambridge University Press, Cambridge, 1993.
- 512
-
M. KRASNOSELSKI.
Topological Methods in the Theory of Nonlinear Integral
equations.
Pergamon Press, Oxford, 1964.
- 513
-
M. KRUPA.
Bifurcations of Critical Group Orbits.
PhD thesis, University of Houston, 1988.
- 514
-
M. KRUPA.
Bifurcations of relative equilibria.
SIAM J. Math. Anal., 21(6), 1453-1486, 1990.
- 515
-
M. KRUPA.
Robust heteroclinic cycles.
J. Nonl. Sc., to appear.
- 516
-
M. KRUPA & I. MELBOURNE.
Asymptotic stability of heteroclinic cycles in systems with symmetry.
Ergod. Th. Dynam. Sys., 15(1), 121-147, 1995.
- 517
-
M. KRUPA & I. MELBOURNE.
Nonasymptotically stable attractors in O(2) mode
interactions.
In W. Langdord & W. Nagata, editors, Normal Forms and
Homoclinic Chaos. AMS, 1996.
- 518
-
M. KRUPA, B. SANDSTEDE & P. SZMOLYAN.
Fast and slow waves in the FitzHugh-Nagumo equation.
Preprint, WIAS, 182, 1-50, 1995.
- 519
-
J. S. LAMB.
Reversing symmetries in dynamical systems.
J. Phys. A Math. Gen., 25(4), 925-937, 1992.
- 520
-
J. S. LAMB.
k-symmetry and return maps of spacetime symmetric flows.
Nonlinearity, 11(3), 601-629, 1998.
- 521
-
J. S. LAMB & I. MELBOURNE.
Bifurcation from periodic solutions with spatiotemporal symmetry.
In Pattern Formation in Continuous and Coupled Systems,
175-191. IMA, 1999.
- 522
-
J. S. LAMB & M. NICOL.
Symmetric -limit sets in reversible flows.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 523
-
J. S. LAMB & C. WULFF.
Reversible relative periodic orbits.
Preprint FU Berlin, A/15/99, 1-33, 1999.
- 524
-
LANDAU.
Not known.
why not, where, old.
- 525
-
S. LANG.
Algebra.
Addison-Wesley, Reading, 1970.
- 526
-
R. LAUTERBACH.
Verzweigung bei Stabilitätsverlust durch mehrere
Eigenwerte.
PhD thesis, Universität Würzburg, 1982.
- 527
-
R. LAUTERBACH.
Hopf bifurcation from a turning point.
J. Reine Angew. Math., 360, 136-152, 1985.
- 528
-
R. LAUTERBACH.
An example of symmetry breaking with submaximal isotropy subgroup.
In M. Golubitsky & J. Guckenheimer, editors, Multiparameter
Bifurcation Theory, Providence, R. I., 1986. American Mathematical Society.
- 529
-
R. LAUTERBACH.
Hopf bifurcation at a degenerate stationary pitchfork.
Nonl. Anal., TMA, 10, 339-351, 1986.
- 530
-
R. LAUTERBACH.
Problems with Spherical Symmetry - Studies on
O(3)-Equivariant Equations.
Habilitationsschrift, Univ. Augsburg, 1988.
- 531
-
R. LAUTERBACH.
Dynamics near steady state bifurcations in problems with spherical
symmetry.
In M. Roberts & I. Stewart, editors, Singularity Theory and
Its Applications, Warwick 1989, Part II, 256-265, Berlin Heidelberg New
York, 1991. Springer Verlag.
Lecture Notes in Mathematics 1463.
- 532
-
R. LAUTERBACH.
Forced symmetry breaking from O(3).
In K. B. Eugene Allgower & M. Golubitsky, editors, Bifurcation
and Symmetry, Int. Ser. Num. Math. 104, 253-262, Basel, 1992.
Birkhäuser.
- 533
-
R. LAUTERBACH.
Spontaneous symmetry breaking in higher dimensional fixed point
spaces.
Zeitschr. Ang. Math. Phys., 43, 430-448, 1992.
- 534
-
R. LAUTERBACH.
Forced symmetry breaking on semispheres.
In Simo, editor, Differential Equations, Hongkong, 1993. World
Scientific.
- 535
-
R. LAUTERBACH.
Äquivariante dynamische Systeme.
Vorlesung FU Berlin, SS 1995.
- 536
-
R. LAUTERBACH.
Symmetry breaking in dynamical systems.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 537
-
R. LAUTERBACH.
Gewöhnliche Differentialgleichungen.
Vorlesung Universität Hamburg, SS 1999.
- 538
-
R. LAUTERBACH & P. CHOSSAT.
Exclusion of relative equilibria.
In P. Chossat, editor, Dynamics, Bifurcation and Symmetry, New
Trends and New Tools, Dordrecht Boston London, 1994. Kluwer Academic
Publishers.
- 539
-
R. LAUTERBACH & S. MAIER.
Symmetry-breaking at non-positive solutions of semilinear elliptic
equations.
Arch. Rat. Mech. Anal., 126(4), 299-331, 1994.
- 540
-
R. LAUTERBACH, S. MAIER & E. REIßNER.
A systematic study of heteroclinic cycles in dynamical system with
broken symmetries.
Proc. Roy. Soc. Edinburgh, 126A, 885-909, 1996.
- 541
-
R. LAUTERBACH & M. ROBERTS.
Heteroclinic cycles in dynamical systems with broken spherical
symmetry.
J. Diff. Equat., 100, 428-448, 1992.
- 542
-
R. LAUTERBACH & J. SANDERS.
Bifurcation analysis for spherically symmetric systems using
invariant theory.
J. Dyn. and Diff. Equat., 9(4), 535-560, 1997.
- 543
-
C. LEIS.
Hopf Verzweigung in Systemen mit sphärischer Symmetrie:
Invariante Tori und verbindende Orbits.
PhD thesis, Freie Universität Berlin, 1996.
- 544
-
C. LEIS.
Hopf-bifurcation in systems with spherical symmetry, part I:
Invariant tori.
Documenta Mathematica, J.d. DMV, 2, 61-113, 1997.
- 545
-
C. D. LEVERMORE & M. OLIVER.
The complex Ginzberg-Landau equation as a model problem.
In P. Deift, C. D. Levermore & C. E. Wayne, editors, Dynamical
Systems and Probabilistic Methods in Partial Differential Equations, Proc.
AMS Summer Seminar Berkeley, Lect. Appl. Math. 32, 141-190,
Providence, R.I., 1996. AMS.
- 546
-
D. LEWIS, T. RATIU, J. S. SIMO & J. E. MARSDEN.
The heavy top: a geometric treatment.
Nonlinearity, 5, 1-48, 1992.
- 547
-
X.-B. LIN.
Using Melnikov's method to solve Silnikov's problem.
Proc. Roy. Soc. Edinburgh, 116A, 295-325, 1990.
- 548
-
X.-B. LIN.
Local and global existence of multiple waves near formal
approximations.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 549
-
B. V. LOGINOV.
Branching Theory of Solutions of nonlinear Equations in
condition of Group Invariance in Russian.
FAN, Tashkent, 1985.
- 550
-
B. V. LOGINOV.
Group analysis methods for constructing and investigation of the
bifurcation equation.
Application of Mathematics, 37(4), 241-248, 1992.
- 551
-
B. V. LOGINOV & J. B. RUSAK.
Generalized jordan structure in the problem of the stability of
bifurcating solutions.
Nonl. Anal., TMA, 17(3), 219-232, 1991.
- 552
-
D. LUPO & A. VANDERBAUWHEDE.
Cusp points and pitchfork interactions in equivariant bifurcation
problems.
J. Diff. Int. Equat., 6(4), 721-756, 1993.
- 553
-
J. H. MADDOCKS.
Stability and folds.
Arch. Rat. Mech. Anal., 99(4), 301-328, 1987.
- 554
-
J. H. MADDOCKS.
On the stability of relative equilibria.
IMA J. Appl. Math, 46, 71-99, 1991.
- 555
-
J. H. MADDOCKS & R. L. SACHS.
On the stability of KdVmulti-solitons.
Comm. Pure and Appl. Math., 46(6), 867-901, 1993.
- 556
-
P. L. MAFFETTONE, A. M. SONNET & E. G. VIRTA.
Shear-induced biaxiality in nematic polymers.
J. Non-Newtonian Fluid Mech., 90, 283-297, 2000.
- 557
-
S. MAIER-PAAPE & R. LAUTERBACH.
Heteroclinic cycles for reaction diffusion systems by forced symmetry
breaking.
Trans. Am. Math. Soc., 352, 2937-2991, 2000.
- 558
-
J. MALLET-PARET & G. SELL.
The principle of spatial averaging and inertial manifolds for
reaction diffusion equations.
In T. Gill & W. Zachary, editors, Nonlinear semigroups,
Partial Differential Equations and Attractors, Lecture Notes in
Mathematics 1248, 94-107, 1985.
- 559
-
J. MALLET-PARET & G. SELL.
Inertial manifolds for reaction diffusion equations.
J. Amer. Math. Soc., 1, 805-866, 1988.
- 560
-
J. MALLET-PARET, G. SELL & Z.-D. SHAO.
Obstructions to the existence of normally hyperbolic inertial
manifolds.
Indiana Univ. Math. J., 42, 203-255, 1992.
- 561
-
J. MALLET-PARET & J. YORKE.
Snakes: oriented families of periodic orbits, their sources, sinks,
and continuation.
J. Diff. Equat., 43, 419-450, 1982.
- 562
-
J. E. MARSDEN & T. J. R. HUGHES.
Mathematical Foundations of Elasticity.
Prentice-Hall, Inc., 1983.
- 563
-
J. E. MARSDEN & M. MCCRACKEN.
The Hopf bifurcation and its applications, Appl. Math. Sci
19.
Springer Verlag, 1976.
- 564
-
J. E. MARSDEN & T. RATIU.
Introduction to Mechanics and Symmetry, Texts in Applied
Mathematics 17.
Springer-Verlag, 1994.
- 565
-
J. E. MARSDEN & J. SCHEURLE.
Pattern evocation and geometric phases in mechanical systems with
symmetry.
Dyn. Stab. Sys., 10(4), 315-338, 1995.
- 566
-
J. E. MARSDEN & Y. WAN.
Symmetry and bifurcation in three-dimensional elasticity.
Arch. Rat. Mech. Anal., 84, 203-233, 1983.
- 567
-
J. E. MARSDEN & A. WEINSTEIN.
Reduction of symplectic manifolds with symmetry.
Rep. Math. Phys., 5, 121-130, 1974.
- 568
-
C. MARTEL, E. KNOBLOCH & J. M. VEGA.
Dynamics of counterpropagating waves in parametrically forced
systems.
Physica D, 137(1-2), 94-123, 2000.
- 569
-
J. N. MATHER.
Stratifications and mappings.
In M. Peixoto, editor, Dynamical Systems, New York, 1973.
Academic Press.
- 570
-
J. N. MATHER.
Differentiable invariants.
Topology, 16, 145-155, 1977.
- 571
-
P. C. MATTHEWS.
Hexagonal patterns in finite domains.
Physica D, 116, 81-94, 1998.
- 572
-
P. C. MATTHEWS.
Preprint, 2002.
- 573
-
P. C. MATTHEWS.
Preprint, 2002.
- 574
-
R. MAY & W. LEONARD.
Nonlinear aspects of competition between three species.
SIAM J. Math. Anal., 29, 243-252, 1975.
- 575
-
M. MEDVE\UD.
The unfolding of a germ of vector field in the plane with a
singularity of codimension 3.
Czech. Math. Journal, 35, 1-41, 1985.
- 576
-
M. MEDVE\UD.
Normal forms and bifurcations of some equivariant vector fields.
Math. Slovaka, 40, 209-223, 1990.
- 577
-
I. MELBOURNE.
Intermittency as a codimension three phenomenon.
J. Dyn. Diff. Equat., 1(4), 347-367, 1989.
- 578
-
I. MELBOURNE.
An example of a non-asymptotically stable attractor.
Nonlinearity, 4, 835-844, 1991.
- 579
-
I. MELBOURNE.
Instantaneous symmetry and symmetry on average in the
Couette-Taylor and Faraday experimentsg.
In Dynamics, bifurcation and symmetry. New trends and new
tolls, 241-257. Kluwer Acad. Publ., 1994.
- 580
-
I. MELBOURNE.
Maximal isotropy subgroups for absolutely irreducible representations
of compact Lie groups.
Nonlinearity, 7(5), 1385-1393, 1994.
- 581
-
I. MELBOURNE.
Generalization of a result on symmetry groups of attractors.
In Fields Institute Comm., 281-295. Am. Math. Soc., 1996.
- 582
-
I. MELBOURNE.
Compact group extensions of topologically transitive sets for smooth
dynamical systems.
Preprint, Univ. Houston, 233, 1-11, 1997.
- 583
-
I. MELBOURNE.
Derivation of the time-dependent Ginzberg-Landau equation on the
line.
J. Nonl. Sc., 8, 1-15, 1998.
- 584
-
I. MELBOURNE.
Steady state bifurcation with Euclidean symmetry.
Trans. Am. Math. Soc., 351(4), 1575-1603, 1999.
- 585
-
I. MELBOURNE.
Ginzburg-Landau theory symmetry.
In L. Debnath & N. Riahi, editors, Nonlinear Instability,
Chaos and Turbuolence, Vol 2, Advances in Fluid Mechanics 25, 1-37.
2000.
- 586
-
I. MELBOURNE, P. CHOSSAT & M. GOLUBITSKY.
Heteroclinic cycles involving periodic solutions in mode interactions
with O(2)-symmetry.
Proc. Roy. Soc. Edinburgh, 113(5), 315-345, 1989.
- 587
-
I. MELBOURNE, M. DELLNITZ & M. GOLUBITSKY.
The structure of symmetric attractors.
Arch. Rat. Mech. Anal., 123, 75-98, 1993.
- 588
-
I. MELBOURNE & I. STEWART.
Symmetric -limit sets for smooth -equivariant
dynamical systems with Abelian.
Nonlinearity, 10, 1551-1567, 1997.
- 589
-
J. MENCK.
A tertiary Hopf bifurcation with applications to problems with
symmetry.
Dyn. Stab. Sys., 7(2), 111-137, 1992.
- 590
-
W. METZLER.
Nichtlineare Dynamik und Chaos, Teubner Studienbücher:
Mathematik.
B.G. Teubner, Stuttgart Leipzig, 1998.
- 591
-
L. MICHEL.
Points critiques des fonctions G-invariantes.
Note aux Comptes-Rendus Acad. Sci. Paris, série A-B, 272,
A433-A436, 1971.
- 592
-
L. MICHEL.
Symmetry defects and broken symmetry, configurations.hidden symmetry.
Rev. Mod. Phys., 52, 617-651, 1980.
- 593
-
L. MICHEL.
Private communication, 1989.
- 594
-
A. MIELKE.
Reduction of quasilinear elliptic equations in cylindrical domains
with applications.
Math. Meth. Appl. Sci., 10, 51-66, 1988.
- 595
-
A. MIELKE.
Hamiltonian and Langrangian flows on center manifolds with
applications to elliptic variational problems, Lecture Notes in
Mathematics 1489.
Springer, Heidelberg, 1991.
- 596
-
A. MIELKE.
A new approach to sideband-instabilities using the principle of
reduced stability.
Preprint, 1994.
- 597
-
A. MIELKE.
Mathematical analysis of sideband-instabilities with applications to
Rayleigh-Bénard convection.
Preprint, 1995.
- 598
-
A. MIELKE & K. KIRCHGäSSNER.
Structure and dynamics of nonlinear waves in fluids, Advanced
Series in Nonlinear Dynamics 7.
World Scientific, Singapore, 1995.
- 599
-
M. MIKLAVCIC.
An sharp condition for existence of an inertial manifold.
J. Dyn. Diff. Equat., 3, 437-456, 1991.
- 600
-
W. MILLER.
Symmetry Groups and their Applications.
Academic Press, 1972.
- 601
-
J. W. MILNOR.
Topology from the Differentiable Viewpoint.
The University Press of Virginia, 1965.
- 602
-
K. MISCHAIKOW.
Conley's connection matrix.
In Dynamics of Infinite Dimensional Systems, 179-184. Springer
Verlag, 1987.
- 603
-
K. MISCHAIKOW & M. MROZEK.
Chaos in the lorentz equation: a computer assisted proof.
Bull. Am. Math. Soc, 32, 66-72, 1995.
- 604
-
J. MOEHLIS & E. KNOBLOCH.
Bursts in oscillatory systems with broken symmetry.
Physica D, 135, 263-304, 2000.
- 605
-
J. MOEHLIS & E. KNOBLOCH.
Wrinkled tori and bursts due to resonant temporal forcing.
Physica D, 151, 90-124, 2001.
- 606
-
M. MöHRLE, U. FEISTE, J. HöRER, R. MOLT & B. SATORINS.
Gigahertz self-pulsation in 1.5 wavelength multisection
DFB lasers.
IEEE Photonics Technol. Letter, 4, 976-979, 1992.
- 607
-
T. MOLIEN.
Über die Invarianten der linearen Substitutionsgruppe.
Sitzungsber. der Königl. Preuss. Akad. d. Wiss.,
1152-1156, 1897.
- 608
-
J. MONTALDI, M. ROBERTS & I. STEWART.
Existence of nonlinear normal modes in symmetric hamiltonian systems.
Nonlinearity, 3, 695-730, 1990.
- 609
-
J. MONTALDI, M. ROBERTS & I. STEWART.
Stability of nonlinear normal modes in symmetric hamiltonian systems.
Nonlinearity, 3, 731-773, 1990.
- 610
-
D. MONTGOMERY & L. ZIPPIN.
Topological Transformation Groups.
Intersc. Publ. Inc., 1955.
- 611
-
J. MOSER.
On a Theorem of D. Anosov.
J. Diff. Equat., 5, 411-440, 1969.
- 612
-
J. MOSER.
Periodic orbits near equilibrium and a theorem by Alan
Weinstein.
Comm. Pure and Appl. Math., 29, 727-747, 1976.
- 613
-
G. W. MOSTOW.
Equivariant embeddings in euclidean space.
Ann. Math, 65(2), 432-446, 1957.
- 614
-
G. W. MOSTOW.
On a conjecture of Montgomery.
Ann. Math, 65(2), 513-516, 1957.
- 615
-
E. MOUTRANE.
Interaction de mode sphériques dans le problème de Bénard
entre deux sphères.
Thèse de cycle, Université de Nice,
France, 1988.
- 616
-
J. MURDOCK.
Some mathematical aspects of spin-orbit resonance.
J. Diff. Equat., 36(3), 237-253, 1980.
- 617
-
J. MURRAY.
Mathematical biology, Biomathematics Text 19.
Springer Verlag, 1989.
- 618
-
L. NACHBIN.
The Haar Integral.
Van Vostrand Co., Princeton, 1965.
- 619
-
N. N. NEFEDOV.
Nonlinear spike-type contrast structures in nonlinear singularly
perturbed parabolic equations.
Proc. Akad. Sci. Dokl. Math., 49(3), 489-492, 1994.
- 620
-
A. NEISHTADT, C. SIMó & D. TRESCHEV.
On stability loss delay for a periodic trajectory.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 621
-
S. NETTESHEIM, A. VON OERTZEN, H. ROTERMUND & G. ERTL.
Reaction diffusion patterns in the catalytic CO-oxidation on
Pt(110)-front propagation and spiral waves.
J. Chem. Phys., 98, 9977-9985, 1993.
- 622
-
A. F. NEVES, H. DE SOUZA RIBEIRO & O. LOPES.
On the spectrum of evolution operators generated by hyperbolic
systems.
J. Funct. Anal., 67, 320-344, 1986.
- 623
-
M. NICOL, I. MELBOURNE & P. ASHWIN.
Euclidean extensions of dynamical systems.
Preprint, 1-36, 1999.
- 624
-
N. NICOLAISEN & B. WERNER.
Some remarks on period doubling in systems with symmetry.
Preprint, 1-13, 1994.
- 625
-
G. NICOLIS & I. PRIGOGINE.
Self-Organization in Nonequilibrium Systems.
John Wiley and Sons, Inc., 1977.
- 626
-
P. J. OLVER.
Applications of Lie Groups to Differential Equations, Graduate
texts in Mathematics 107.
Springer-Verlag, New York, 1986.
- 627
-
I. OPREA, P. CHOSSAT & D. ARMBRUSTER.
Simulating the kinematic dynamo forced by heteroclinic convective
velocity fields.
Preprint, 1-34, 1996.
- 628
-
J. ORTEGA & T. RATIU.
Stability of hamiltonian relative equibria.
Nonlinearity, 12(3), 693-720, 1999.
- 629
-
V. OSELEDEC.
A multiplicative ergodic theorem: Ljapunov characteristic numbers
for dynamical systems.
Trans. Moscow Math. Soc., 19, 197-231, 1968.
- 630
-
R. PALAIS.
Imbedding of compact differentiable transformation groups in
orthogonal representations.
J. math. Mech., 6, 673-678, 1957.
- 631
-
R. PALAIS.
On the existence of slices for actions of non-compact lie groups.
Ann. Math, 73, 295-323, 1961.
- 632
-
J. PALIS,JR. & W. DE MELO.
Geometric Theory of Dynamical Systems.
Springer Verlag, New York, 1982.
- 633
-
K. PALMER.
Qualitative behaviour of a system of ODE's naer an equilibrium
point - A generalization of the Hartman-Grobman Theorem.
Preprint 372, SFB 72, Univ. Bonn, 1980.
- 634
-
A. PAZY.
Semigroups of linear operators and applications to partial
differential equations, Appl. Math. Sc. 44.
Springer Verlag, New York, 1983.
- 635
-
M. M. PEIXOTO.
On an approximation theorem by Kupka and Smale.
J. Diff. Equat., 3, 214-227, 1966.
- 636
-
A. L. PEREIRA.
Eigenvalues of the Laplacian on symmetric regions.
Nonl. Diff. Equat. Appl., 2, 63-109, 1995.
- 637
-
L. M. PERKO.
A global analysis of the Takens-Bogdanov system.
SIAM J. Appl. Math., 52, 1272-1292, 1992.
- 638
-
F. PETER & H. WEYL.
Die Vollständigkeit der primitiven Darstellungen einer
geschlossenen kontinuierlichen Gruppe.
Math. Ann., 97, 737-755, 1927.
- 639
-
D. PETERHOF.
Hydrodynamische Probleme im dünnen Kugelspalt.
PhD thesis, Freie Universität Berlin, 1996.
- 640
-
D. PETERHOF, L. RECKE & B. SANDSTEDE.
On frequency locking of self-pulsating two-section DFB-lasers.
In H. Engel, F.-J. Niedernostheide, H.-G. Purwins & E. Schöll,
editors, Self-Organization in Activator-Inhibitor Systems:
semiconductors, Gas-Discharge and Chemical Active Media,
WE-Hereaus-Seminar 157, 218-222, 1996.
- 641
-
T. PETRIE.
G-transversality.
Bull. Am. Math. Soc, 81, 721-722, 1975.
- 642
-
N. PHAN-THIEN.
Couette flow between corrugated cylinders.
Zeitschr. Ang. Math. Phys., 43, 207-214, 1992.
- 643
-
M. PIGNATARO, N. RIZZI & A. LUONGO.
Stability, Bifurcation and Postcritical Behaviour of Elastic
Structures, Developments in Civil Engineering 39.
Elsevier, Amsterdam London New York Tokyo, 1991.
- 644
-
V. POéNARU.
Singularités en Présence de Symétrie,
Lecture Notes in Mathematics 510.
Springer Verlag, Berlin Heidelberg New York, 1976.
- 645
-
H. POINCARé.
Sur les équations de la dynamique st le problème de trois
corps.
Acta math., 13, 1-270, 1890.
- 646
-
H. POINCARé.
Les methodes nouvelles de la Mécanique Célèste.
Gauthier-Villars, Paris, 1899.
- 647
-
P. POLáCIK.
Generic hyperbolicity in one-dimensional reaction diffusion equations
with general boundary conditions.
Nonl. Anal., TMA, 11(5), 593-597, 1987.
- 648
-
P. POLáCIK.
Transversal and nontransversal intersections of stable and unstable
manifolds in reaction diffusion equations on symmetric domains.
Diff. and Integral Equations, 7, 1527-1545, 1994.
- 649
-
P. POLáCIK & K. RYBAKOWSKI.
Imbedding vector fields in scalar parabolic Dirichlet BVPs.
preprint, 1994.
- 650
-
P. POLáCIK & K. P. RYBAKOWSKI.
Nonvonvergent bounded trajectories in semilinear heat equations.
J. Diff. Equat., 124, 472-494, 1996.
- 651
-
C. POSPIECH.
A Dirichlet problem exhibiting global bifurcation with symmetry
breaking.
SIAM J. Math. Anal., 21, 1426-1452, 1990.
- 652
-
C. PROCESI & G. W. SCHWARZ.
Inequalities defining orbit spaces.
Invent. Math., 81, 539-554, 1985.
- 653
-
F. QUINN & A. SARD.
Hausdorff conullity of critical images of Fredholm maps.
Amer. J. Math, 94, 1101-1110, 1972.
- 654
-
P. J. RABIER.
New aspects in bifurcation with symmetry.
Diff. and Integral Equations, 3(6), 1015-1034, 1990.
- 655
-
P. H. RABINOWITZ.
Some global results for nonlinear eigenvalue problems.
J. Funct. Anal., 7, 487-513, 1971.
- 656
-
P. H. RABINOWITZ.
Some aspects of nonlinear eigenvalue problems.
Rocky Mount. J. of Math., 3, 161-202, 1973.
- 657
-
P. H. RABINOWITZ.
A bifurcation theorem for potential operators.
J. Funct. Anal., 26, 48-67, 1977.
- 658
-
P. H. RABINOWITZ.
Minimax methods in critical point theory with applications to
differential equations, Reg. Conf. Ser. Math. 65.
Am. Math. Soc., Providence, R. I., 1986.
- 659
-
D. RAND.
Dynamics and symmetry. predictions of modulated waves in rotating
fluids.
Arch. Rat. Mech. Anal., 75, 1-38, 1982.
- 660
-
G. RAUGEL.
Stabilité d'une equation parabolique de Morse Smale
perturbée de manière singulière et une equation hyperbolique.
C. R. Acad. Sci. Paris, Ser. I, 310, 85-88, 1990.
- 661
-
L. RECKE.
Stability of bifurcating solutions of equivaraint equations.
Nonl. Anal., TMA, 23, 971-994, 1994.
- 662
-
L. RECKE & D. PETERHOF.
Abstract forced symmetry breaking.
WIAS Perprint, 256, 1996.
- 663
-
L. RECKE & D. PETERHOF.
Forced frequency locking in -equivariant differential
equations.
WIAS Perprint, 257, 1996.
- 664
-
L. RECKE & D. PETERHOF.
Abstract forced symmetry breaking and forced frequency locking of
modulated waves.
J. Diff. Equat., 144, 233-262, 1998.
- 665
-
E. REIßNER.
Dynamische Systeme und erzwungene Symmetriebrechung am Beispiel
sphärischer Probleme.
Master's thesis, Univ. Augsburg, 1993.
- 666
-
M. RENARDY.
Bifurcation from rotating waves.
Arch. Rat. Mech. Anal., 79, 43-84, 1982.
- 667
-
M. RENARDY & H. HAKEN.
Bifurcation of solutions of the Laser equations.
Physica D, 8, 57-89, 1983.
- 668
-
M. RENARDY & Y. RENARDY.
Pattern selection in the Bénard problem for a viscoelastic fluid.
Zeitschr. Ang. Math. Phys., 43, 154-180, 1992.
- 669
-
W. C. RHEINBOLDT.
Numerical Analysis of Parametrized Nonlinear Equations.
Wiley-Interscience, New York, 1986.
- 670
-
N. RIAHI.
Nonlinear convection in a spherical shell.
J. Phys. Soc. of Japan, 54, 2506-2512, 1971.
- 671
-
G. RIENäCKE & S. HESS.
Orientational dynamics of nematic liquid crystals under shear flow.
Physica A, 267, 294-321, 1999.
- 672
-
J. ROBBIN.
A structural stability theorem.
Ann. Math, 94, 447-493, 1971.
- 673
-
M. ROBERTS.
On the genericity of some properties of equivariant map germs.
J. London Math. Soc., 32(2), 177-192, 1985.
- 674
-
S. ROBERTSON.
The Veronese manifolds and their convex hulls.
Technical report, Univ. of Coimbra, 1991.
- 675
-
C. ROBINSON.
Structural stability of vector fields.
Ann. Math, 99, 154-174, 1974.
- 676
-
A. M. RUCKLIDGE & P. MATTHEW.
Analysis of the shearing instability in nonlinear analysis and
magnetoconvection.
Nonlinearity, 9, 1996.
- 677
-
W. RUDIN.
Fourier Analysis on Groups.
Cambridge Tr. in Math, New York, 1962.
- 678
-
W. RUDIN.
Functional Analysis.
Mc Graw Hill, Inc, New York, 1973.
- 679
-
D. RUELLE.
Bifurcation in the presence of a symmetry group.
Arch. Rat. Mech. Anal., 51, 136-152, 1973.
- 680
-
M. RUIJGROK & F. VERHULST.
Parametric and autoparametric resonance.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 681
-
M. RUMBERGER.
Finitely differentiable invariants.
Math. Zeitschr., 229, 675-694, 1998.
- 682
-
M. RUMBERGER.
Lyapunov exponents on the orbit space.
preprint, 1999.
- 683
-
M. RUMBERGER.
On eigenvalues on the orbit space.
preprint, 1999.
- 684
-
M. RUMBERGER & J. SCHEURLE.
Invariant -functions and center manifold reduction.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 685
-
J. SANDERS.
On the computation of normal forms.
In A. Cohen, editor, Computational aspects of Lie group
representations and related topics, 129-142, 1991.
- 686
-
J. SANDERS.
On the computation of versal normal forms.
preprint, 1-25, 1992.
- 687
-
J. SANDERS & M. ROELOFS.
An algorithmic approach to conservation laws using the 3-dimensional
Heisenberg algebra.
preprint, 1-14, 1994.
- 688
-
J. SANDERS & J. WANG.
Classification of conservation laws for KdV-like equations. I.
preprint, WS-468, 1-11, 1996.
- 689
-
J. SANDERS & J. WANG.
On hereditary recursion operators.
preprint, WS-472, 1-16, 1997.
- 690
-
J. SANDERS & J. WANG.
On the integrability of polynomial scalar evolution operators.
preprint, WS-476, 1-16, 1997.
- 691
-
B. SANDSTEDE.
Verzweigungstheorie homokliner Verdopplungen.
PhD thesis, Univ. Stuttgart, 1993.
- 692
-
B. SANDSTEDE.
Center manifolds for homoclinic solutions.
Preprint, WIAS, 186, 1-50, 1995.
- 693
-
B. SANDSTEDE.
Contstructing dynamical systems possessing homoclinic bifurcation
points of codimension 2.
Preprint, WIAS, 149, 1995.
- 694
-
B. SANDSTEDE.
Convergence estimates for the numerical approximation of homoclinic
solutions.
Preprint, WIAS, 198, 1-25, 1995.
- 695
-
B. SANDSTEDE.
Instabilities of localised buckling modes in a one-dimensional strut
model.
Preprint, WIAS, 247, 1-17, 1996.
- 696
-
B. SANDSTEDE & B. FIEDLER.
Dynamics of periodically forced parabolic equations on the circle.
Ergod. Th. Dynam. Sys., 12, 559-571, 1992.
- 697
-
B. SANDSTEDE, C. JONES & J. C. ALEXANDER.
Existemce and stability of n-pulses on optical fibers with phase
sensitive amplifiers.
Preprint, 248, 1-46, 1996.
- 698
-
B. SANDSTEDE & A. SCHEEL.
Forced symmetry breaking of homoclinic cycles.
Nonlinearity, 8, 333-365, 1994.
- 699
-
B. SANDSTEDE, A. SCHEEL & C. WULFF.
Dynamics of spiral waves on unbounded domains using center-manifold
reductions.
J. Diff. Equat., 141, 122-149, 1997.
- 700
-
B. SANDSTEDE, A. SCHEEL & C. WULFF.
Bifurcations and dynamics of spiral waves.
J. Nonl. Sc., 9(4), 439-478, 1999.
- 701
-
B. SANDSTEDE, A. SCHEEL & C. WULFF.
Dynamical behaviour of patterns with Euclidean symmetry.
In Pattern Formation in Continuous and Coupled Systems,
249-264. IMA, 1999.
- 702
-
G. SARTORI.
Geometric invariant theory: a model-independant approach to
spontaneous symmetry-breaking and/or supersymmetry-breaking.
Rivista del Nuovo Cimento, 14(11), 1-120, 1991.
- 703
-
D. H. SATTINGER.
Topics in stability and bifurcation theory, Lecture Notes in
Mathematics 309.
Springer Verlag, Berlin Heidelberg New York, 1972.
- 704
-
D. H. SATTINGER.
Bifurcations from rotationally invariant states.
J. Math. Phys., 19(8), 1720-1731, august 1978.
- 705
-
D. H. SATTINGER.
Group Theoretic Methods in Bifurcation Theory, Lecture Notes in
Mathematics 762.
Springer Verlag, Berlin Heidelberg New York, 1979.
- 706
-
D. H. SATTINGER.
Branching in the Presence of Symmetry, CBMS-NSF Conference
Notes 40.
Plenum, Philadelphia, 1983.
- 707
-
D. H. SATTINGER & O. WEAVER.
Lie Groups and Algebras with Applications to Physics, Geometry
and Mechanics, Appl. Math. Sciences 61.
Springer Verlag, New York, 1986.
- 708
-
B. SCARPELLINI.
The principle of linearized instability for space-periodic equilibria
of Navier-Stokes equations on an infinite plate.
Analysis, 15, 359-391, 1995.
- 709
-
B. SCARPELLINI.
Stability of space periodic equilibrium solutions of
Navier-Stokes on an infinite plate.
C. R. Acad. Sci. Paris, Ser. I, 320, 1485-1488, 1995.
- 710
-
B. SCARPELLINI & W. VON WAHL.
Stability properties of the Boussinesq equations.
Zeitschr. Ang. Math. Phys., 48, 1-28, 1997.
- 711
-
D. G. SCHAEFFER.
General introduction to steady-state bifurcation.
In D. Rand & L.-S. Young, editors, Dynamical systems and
turbulence, Warwick 1980, Lect. Notes in Math. 898, New York, 1981.
Springer.
- 712
-
A. SCHEEL.
Bifurcation to spiral waves in reaction-diffusion systems.
SIAM J. Math. Anal., 29(6), 1399-1418, 1998.
- 713
-
A. SCHEEL & P. CHOSSAT.
Bifurcation d'orbites periodiques a partir d'un cycle homocline
symetrique.
C. R. Acad. Sci. Paris, Ser. I, 314(1), 49-54, 1992.
- 714
-
J. SCHEURLE.
Some aspects of successive bifurcations in the Taylor-Couette
problem.
Fields Inst. Comm, 5, 335-345, 1996.
- 715
-
E. SCHMIDT.
Zur Theorie der linearen und nichtlinearen Integralgleichungen I.
Math. Ann., 63, 1907.
- 716
-
E. SCHMIDT.
Zur Theorie der linearen und nichtlinearen Integralgleichungen II.
Math. Ann., 64, 1907.
- 717
-
E. SCHMIDT.
Zur Theorie der linearen und nichtlinearen Integralgleichungen III.
Math. Ann., 65, 1908.
- 718
-
G. SCHNEIDER.
Error estimates for Ginzburg-Landau approximations.
Zeitschr. Ang. Math. Phys., 45, 433-457, 1994.
- 719
-
G. SCHNEIDER.
Global existence via Ginzburg-Landau formalism and pseudo-orbits
of Ginzburg-Landau approximations.
Comm. Math. Phys., 164, 157-179, 1994.
- 720
-
G. SCHNEIDER.
The validity of the generalized Ginzburg-Landau equations.
Math. Meth. Appl. Sci., 19(9), 717-736, 1996.
- 721
-
G. SCHWARZ.
Smooth functions invariant under the action of a compact Lie group.
Topology, 14, 63-68, 1975.
- 722
-
G. SCHWARZ.
Lifting smooth homotopies.
IHES, 51, 37-135, 1980.
- 723
-
J.-P. SERRE.
Représentations Linéaires des Groupes Finis.
Herrmann, Paris, 1978.
- 724
-
J. SERRIN.
A symmetry problem in potential theory.
Arch. Rat. Mech. Anal., 43, 304-318, 1971.
- 725
-
M. SEVRYUK.
Reversible Systems, Lect. Notes in Math. 1211.
Springer, Berlin, 1986.
- 726
-
R. SEYDEL.
Practical Bifurcation and Stability Analysis - From Equilibrium
to Chaos, Interdisciplinary Applied Mathematics 5.
Springer, New York, 1994.
- 727
-
M. SHEARER.
Secondary bifurcation near a double eigenvalue.
SIAM J. Math. Anal., 11, 365-389, 1980.
- 728
-
M. SHEARER.
Coincident bifurcation of equilibrium and periodic solutions of
evolution equations.
J. Math. Anal. Appl., 84(1), 113-132, 1981.
- 729
-
L. SHILNIKOV.
On the generation of a periodic motion from a trajectory which leaves
and reenters a saddle-saddle-strate of equilibrium.
Sov. Math. Dokl., 7, 1155-1158, 1966.
- 730
-
B. SIMON.
Representations of finite and compact groups, Graduate Studies
in Mathematics 10.
AMS, Providence, 1996.
- 731
-
G. SKINNER & H. SWINNEY.
Periodic to quasiperiodic transition of chemical spiral rotation.
Physica D, 48, 1-16, 1991.
- 732
-
S. SMALE.
Topology and mechanics I.
Invent. Math., 10, 305-331, 1970.
- 733
-
J. SMOLLER.
Shock Waves and Reaction-Diffusion Equations, Grundl. d. math.
Wissenschaften 258.
Springer, New York, 1983.
- 734
-
J. SMOLLER & A. G. WASSERMAN.
Symmetry-breaking for positive solutions of semilinear elliptic
equations.
Arch. Rat. Mech. Anal., 95, 217-225, 1986.
- 735
-
J. SMOLLER & A. G. WASSERMAN.
Bifurcation and symmetry breaking.
Invent. Math., 100, 63-95, 1990.
- 736
-
J. SMOLLER & A. G. WASSERMAN.
Symmetry, degeneracy, and uniqueness in semilinear elliptic
eequations, infinitesimal symmetry breaking.
J. Funct. Anal., 89, 364-409, 1990.
- 737
-
N. SOTTOCORNOLA.
Sur la classification des cycles homoclines dans . (on the
classification of the homoclinic cycles in ).
C. R. Acad. Sci. Paris, Ser. I, 332(8), 695-689, 2001.
- 738
-
N. SOTTOCORNOLA.
Complete classification of homoclinic cycles in in the case
of a symmetry group .
C. R. Acad. Sci. Paris, Ser. I, 334(10), 859-864, 2002.
- 739
-
N. SOTTOCORNOLA.
Robust homoclinic cycles in .
Nonlinearity, 16(1), 1-24, 2003.
- 740
-
C. SPARROW.
The Lorenz Equations: Bifurcations, Chaos and Strange
Attractors, Appl. Math. Sc. 41.
Springer Verlag, New York Heidelberg Berlin, 1982.
- 741
-
T. A. SPRINGER.
Invariant Theory, Lecture Notes in Mathematics 585.
Springer Verlag, New York Heidelberg Berlin, 1977.
- 742
-
S. S. SRITHARAN.
Invariant Manifold Theory for Hydrodynamic Transition, Research
Notes in Mathematics 241.
Longman, Harlow, 1990.
- 743
-
R. P. STANLEY.
Invariants of finite groups and their applications to combinatorics.
Bull. Am. Math. Soc, 1(3), 475-511, 1979.
- 744
-
N. STEENROD.
Topology of Fibre Bundles, Princeton Mathematical Series.
Princeton University Press, Princeton, 1952.
- 745
-
S. STERNBERG.
On the structure of local homeomorphism of Euclidean n-space,
II.
Amer. J. Math, 80, 623-631, 1958.
- 746
-
I. STEWART.
Bifurcations with symmetry.
In T. Bedford & J. Swift, editors, New Directions in Dynamical
Systems. Cambridge Univ. Press, 1987.
- 747
-
I. STEWART.
Stability of periodic orbits in symmetric Hopf bifurcation.
Dyn. Stab. Sys., 2, 149-165, 1987.
- 748
-
E. STIEFEL & A. FäSSLER.
Gruppentheoretische Methoden und ihre Anwendung. Eine
Einführung mit typischen Beispielen aus Natur- und
Ingenieurwissenschaften., Leitfäden der angewandten Mathematik und
Mechanik LAMM 46.
B. G. Teubner, Stuttgart, 1979.
- 749
-
E. STONE & D. ARMBRUSTER.
Noise and O(1) amplitude effects on heteroclinic cycles.
Preprint, 1998.
- 750
-
E. STONE & P. HOLMES.
Noise induced intermittency in a model of a turbulent boundary layer.
Physica D, 37, 20-32, 1989.
- 751
-
P. STORK & B. WERNER.
Symmetry adapted block diagonalisation in equivariant steady state
bifurcation problems and its numerical application.
Adv. in Math., 20(4), 455-487, 1991.
- 752
-
M. STRUWE.
Variational Methods, Ergebnisse der Mathematik und ihrer
Grenzgebiete 34.
Springer Verlag, Heidelberg, 1990.
- 753
-
B. STURMFELS.
Algorithms in Invariant Theory, Texts and Monographs in
Symbolic Computation 1.
Springer Verlag, Wien, 1993.
- 754
-
B. STURMFELS.
Gröbner bases and convex polytopes, University Lecture
Series 8.
Am. Math. Soc., Providence, RI, 1995.
- 755
-
J. SWIFT.
Hopf bifurcation with the symmetry of the square.
Nonlinearity, 1(2), 333-377, 1988.
- 756
-
J. SWIFT & E. BARANY.
Chaos in the hopf bifurcation with tetrahedral symmetry: Convection
in a rotating fluid with low Prandt number.
Eur. J. Mech., B/Fluids, 10, 99-104, 1991.
- 757
-
J. SWIFT & P. HOHENBERG.
Hydrodynamic fluctuations at the convective instability.
Phys. Rev. A, 15, 319-328, 1977.
- 758
-
J. SYLVESTER.
Proof of the hitherto undemonstrated fundamental theorem of
invariants.
In Collected Math. Papers. Chelsea, 1973.
- 759
-
J. SYLVESTER.
Tables of the generating functions and ground forms of the binary
qunatics of the first ten orders.
In Collected Math. Papers, 283-311. Chelsea, 1973.
- 760
-
P. TAKáC.
Asymptotic behaviour of strongly monotone time-periodic dynamical
processes with symmetry.
J. Diff. Equat., 100, 355-378, 1992.
- 761
-
P. TAKáC.
Invariant 2-tori in the time-dependent Ginzburg-Landau equation.
Nonlinearity, 5, 289-321, 1992.
- 762
-
P. TAKáC.
A construction of stable subharmonic orbits in monotone time-periodic
dynamical systems.
Mh. Math., 115, 215-244, 1993.
- 763
-
F. TAKENS.
Singularities of vector fields.
Publ. Inst. Hautes Etudes Sc., 43, 47-100, 1974.
- 764
-
F. TAKENS.
Detecting strange attractors in turbulence.
In D. Rand & L.-S. Young, editors, Dynamical Systems and
Turbulence, Berlin Heidelberg New York, 1981. Springer Verlag.
Lecture Notes in Mathematics 898.
- 765
-
F. TAKENS.
Estimations of dimension and time series.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos, Basel Boston Berlin, 1996.
Birkhäuser.
- 766
-
S. D. TALIAFERRO.
Stability of solutions bifurcating from multiple eigenvalues.
J. Funct. Anal., 44, 24-49, 1981.
- 767
-
S. D. TALIAFERRO.
Bifurcation at multiple eigenvalues and stability of bifurcating
solutions.
J. Funct. Anal., 55, 247-275, 1984.
- 768
-
S. D. TALIAFERRO.
Stability of bifurcating solutions in the presence of symmetry.
Nonl. Anal., TMA, 8, 821-839, 1987.
- 769
-
TAYLOR.
Partial Differential Equations, Vol. I, Appl. Math. Sc.
115.
Springer, New York, 1996.
- 770
-
TAYLOR.
Partial Differential Equations, Vol. II, Appl. Math. Sc.
116.
Springer, New York, 1996.
- 771
-
TAYLOR.
Partial Differential Equations, Vol. III, Appl. Math. Sc.
117.
Springer, New York, 1996.
- 772
-
G. I. TAYLOR.
Stability of a viscous liquid contained between two rotating
cylinders.
Phil. Trans. Roy. Soc. London A, 223, 289-343, 1923.
- 773
-
V. TCHISTIAKOV.
Detecting symmetry breaking bifurcations in the system describing the
dynamics of coupled arrays of Josephson junction.
Physica D, 91, 67-85, 1996.
- 774
-
R. TEMAN.
Navier-Stokes Equation, Studies in Mathematics and its
Applications 2.
North-Holland, Amsterdam, 1979.
- 775
-
R. TEMAN.
Infinite-dimensional dynamical systems in mechanics and
physics, Applied Mathematical Sciences 68.
Springer-Verlag, New York, 1988.
- 776
-
R. TEMAN.
Attractor for the Navier-Stokes equation: localisation and
approximation.
J. Fac. Sc. Univ. Tokyo, 36, 629-647, 1989.
- 777
-
R. TEMAN.
Inertial forms of Navier-Stokes equation on the sphere.
J. Funct. Anal., 117, 215-242, 1993.
- 778
-
D. TERMAN, N. KOPELL & A. BOSE.
Dynamics of two mutually coupled slow inhibitory neurons.
Preprint, 1996.
- 779
-
D. TERMAN & D. WANG.
Global competition and local cooperation in a network of neural
oscillators.
Physica D, 81, 148-176, 1995.
- 780
-
T. TOM DIECK.
Transformation Groups, Studies in Mathematics 8.
de Gruyter, 1987.
- 781
-
V. TRENOGIN, N. SIDOROV & B. LOGINOV.
Branching euqations:potentiality, bifurcation, symmetry.
Sov. Math. Dokl., 40(3), 511-520, 1989.
- 782
-
H. TROGER & A. STEINDL.
Nonlinear stability and bifurcation theory. An introduction for
engineers and applied scientists.
Springer-Verlag, Amsterdam, 1991.
- 783
-
K. UHLENBECK.
Eigenfunctions of Laplace operators.
Bull. Am. Math. Soc, 78, 1073-1076, 1972.
- 784
-
K. UHLENBECK.
Generic properties of eigenfunctions.
J. Amer. Math. Soc., 98, 1059-1078, 1976.
- 785
-
Z. UNGVARAI-NAGY, J. UNGVARAI & S. C. MüLLER.
Complexity in spiral waves dynamics.
Chaos, 3(1), 15-19, 1993.
- 786
-
M. VAINBERG & V. TRENOGIN.
The method of Lyapunov and Schmidt in the theory of nonlinear
equations and their further development.
Russ. Math. Surv., 17(2), 1, 1962.
- 787
-
J. C. VAN DER MEER.
Hamiltonian hopf bifurcation with symmetry.
Nonlinearity, 3, 1041-1056, 1990.
- 788
-
B. L. VAN DER WAERDEN.
Moderne Algebra I, Grundl. d. Math. Wiss. 33.
Springer, 1950.
- 789
-
S. VAN GILS.
A torus bifurcation theorem with symmetry.
J. Dyn. and Diff. Equat., 2, 133-162, 1990.
- 790
-
S. VAN GILS.
An inhomogeneous Picard-Fuchs equation.
Preprint, Uni Twente, 1185, 1-9, 1993.
- 791
-
S. VAN GILS & M. GOLUBITSKY.
A torus bifurcation theorem with symmetry.
J. Diff. Equat., 2, 133-162, 1990.
- 792
-
S. VAN GILS, M. KRUPA & W. LANGFORD.
Hopf bifurcation with non-semisimple 1-1 resonance.
Nonlinearity, 3, 825-850, 1990.
- 793
-
S. VAN GILS & A. VANDERBAUWHEDE.
Center manifolds and contractions on a scale of banach spaces.
J. Funct. Anal., 72, 209-224, 1987.
- 794
-
S. A. VAN GILS & E. SOEWONO.
Modulated waves in a perturbed Korteweg-de Vries equation.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 795
-
A. VANDERBAUWHEDE.
Symmetry and bifurcation near families of solutions.
J. Diff. Equat., 36, 173-178, 1980.
- 796
-
A. VANDERBAUWHEDE.
Local Bifurcation and Symmetry, Research Notes in
Mathematics 75.
Pitman, 1982.
- 797
-
A. VANDERBAUWHEDE.
Stability of bifurcating equilibria and the principle of reduced
stability.
In L. Salvadori, editor, Bifurcation Theory and Applications.
Springer Verlag, 1984.
Lecture Notes in Mathematics 1057.
- 798
-
A. VANDERBAUWHEDE.
Bifurcation of subharmonic solutions in time-reversible systems.
Zeitschr. Ang. Math. Phys., 37, 455-478, 1986.
- 799
-
A. VANDERBAUWHEDE.
Symmetry breaking at positive solutions.
Zeitschr. Ang. Math. Phys., 38, 315-326, 1987.
- 800
-
A. VANDERBAUWHEDE.
Centre manifolds, normal forms and elementary bifurcations.
Dynamics Reported, 2, 89-169, 1989.
- 801
-
A. VANDERBAUWHEDE.
Hopf bifurcation for equivariant conservative and time-reversible
systems.
Proc. Roy. Soc. Edinburgh, 116A, 103-128, 1990.
- 802
-
A. VANDERBAUWHEDE.
Subharmonic bifurcations in equivariant systems.
In Equadiff7; Proceedings of the Conference held in Prague,
1989. Teubner, 1990.
- 803
-
A. VANDERBAUWHEDE.
Subharmonic branching in reversible systems.
SIAM J. Math. Anal., 21(4), 954-979, 1990.
- 804
-
A. VANDERBAUWHEDE.
Periodic and homoclinic orbits in conservative and reversible
systems.
Int. Ser. Num. Math. 97, 355-359. Birkhäuser, 1991.
- 805
-
A. VANDERBAUWHEDE.
Bifurcation of degenerate homoclinics.
Results in Math., 21, 211-223, 1992.
- 806
-
A. VANDERBAUWHEDE.
Branching of periodic solutions in time-reversible systems.
In Geometry and Analysis in Nonlinear Dynamics, Pitman Res.
Notes Math. Ser. 222, 97-113, 1992.
- 807
-
A. VANDERBAUWHEDE.
A short tutorial on Hamiltonian systems and their reduction near a
periodic orbit.
Preprint, 1-23, 1997.
- 808
-
A. VANDERBAUWHEDE & B. FIEDLER.
Homoclinic period blow-up in reversible and conservative systems.
Zeitschr. Ang. Math. Phys., 43, 292-318, 1991.
- 809
-
A. VANDERBAUWHEDE & G. IOOSS.
Center manifold theory in infinite dimensions.
Dynamics Reported, N.S., 1, 125-163, 1992.
- 810
-
J. M. VEGAS.
Linear stability of bifurcating branches of equilibria.
In H. W. Knobloch & K. Schmitt, editors, Equadiff 82.
Springer Verlag, 1983.
Lecture Notes in Mathematics 1017.
- 811
-
M. VIANA.
Global attractors and bifurcations.
In H. W. Broer, S. van Gils, I. Hoveijn & F. Takens, editors,
Nonlinear Dynamical Systems and Chaos. Birkhäuser, 1996.
- 812
-
W. WALTER.
Gew"ohnliche Differentialgleichungen, Heidelberger
Taschenb"ucher.
Springer Verlag, Berlin, 1972.
- 813
-
Z.-Q. WANG.
Nonlinear Neumann problems with critical exponent in symmetric
domains.
In Proceedings of the conference on variational methodss in
nonlinear analysis, 1992.
- 814
-
Z.-Q. WANG.
On the existence of multiple, single-peaked solutions of a semilinear
Neumann problem.
Arch. Rat. Mech. Anal., 120, 375-399, 1992.
- 815
-
Z.-Q. WANG.
On the existence of positive solutions for semilinear Neumann
problems in exterior domains.
Comm. in P.D.E., 17, 1309-1325, 1992.
- 816
-
Z.-Q. WANG.
Construction of multi-peaked solutions for a nonlinear Neumann
problem with critical exponent in symmetric domains.
preprint, 1994??
- 817
-
Z.-Q. WANG.
The effect of the domain geometry on the number of positive solutions
of Neumann problems with critical exponent.
Diff. and Integral Equations, 1994??
- 818
-
Z.-Q. WANG.
High energy and multi-peaked solutions for an nonlinear Neumann
problem with critical exponent.
Proc. Roy. Soc. Edinburgh, 1994??
- 819
-
Z.-Q. WANG.
On the shape of solutions for a nonlinear Neumann problem in
symmetric domains.
In Allgower, Georg & Miranda, editors, Exploiting symmetry in
Applied and Numerical Analysis, Lecture in Applied Math. 29, 1994??
- 820
-
Z.-Q. WANG.
On the existence and qualitative properties of solutions for a
nonlinear Neumann problem with critical exponent.
In V. Laksmikantham, editor, World Congress of Nonl. Analysts
'92, Proc. of the First World Congresss, 1445-1456, Berlin, 1996. de
Gruyter.
- 821
-
G. WATSON.
A Treatise on Theory of Bessel Functions.
Cambridge University Press, Cambridge, 1944.
- 822
-
H. WEINBERGER.
On the stability of bifurcating solutions.
In L. Cesari, R. Kannan & H. Weinberger, editors, Nonlinear
Analysis, New York, 1978. Academic Press.
- 823
-
A. WEINSTEIN.
Normal modes for nonlinear Hamiltonian systems.
Invent. Math., 20, 47-57, 1973.
- 824
-
A. WEINSTEIN.
Bifurcations and Hamilton's principle.
Math. Zeitschr., 159, 235-248, 1978.
- 825
-
B. WERNER.
The numerical analysis of bifurcation problems with symmetries based
on bordered jacobians.
In G. Allgower, K. Georg & Miranda, editors, Exploiting
Symmetry in Applied and Numerical Analysis, Lectures in Applied
Mathematics 29, 443-457, 1993.
- 826
-
B. WERNER & N. NICOLAISEN.
Discretization of circle maps.
Preprint Danse, 10/97, 1-31, 1997.
- 827
-
B. WERNER & A. SPENCE.
The computation of symmetry breaking bifurcation points.
SIAM J. Num. Anal., 21, 388-399, 1984.
- 828
-
H. WEYL.
Gruppentheorie und Quantenmechanik.
Verlag von S. Hirzel, Leipzig, 1928.
- 829
-
A. T. WINFREE.
Scroll-shaped waves of chemical activity in three dimensions.
Science, 181, 937-939, 1973.
- 830
-
A. T. WINFREE.
The Geometry of Biological Time, Biomathematics 8.
Springer Verlag, NewYork, 1980.
- 831
-
R. WITTENBERG & P. HOLMES.
The limited effectiveness of normal forms: a critical review and
extension of local bifurcation studies of the Brusselator PDE.
Physica D, 100, 1-40, 1997.
- 832
-
P. WOLFE.
Buckling of a nonlinearly erlastic column: variational principles
bifurcation and asymptotics.
Rocky Mount. J. of Math., 25(2), 789-813, 1995.
- 833
-
C. WULFF.
Theory of meandering and drifting spiral wavs in
reaction-diffusion systems.
PhD thesis, Freie Universität Berlin, 1996.
- 834
-
C. WULFF.
Transition from relative equilibria to relative periodic orbits.
Preprint, 1999.
- 835
-
C. WULFF, A. HOHMANN & P. DEUFLHARD.
Numerical continuation of periodic orbits with symmetry.
Preprint, 1994.
- 836
-
C. WULFF, J. S. W. LAMB & I. MELBOURNE.
Bifurcation from relative periodic solutions.
Preprint, 1999.
- 837
-
L. XIAO & M. E. KELLMAN.
Unified semiclassical dynamics for molecular resonance spectra.
J. Chem. Phys., 90, 6086-6097, 1989.
- 838
-
M. YAMASHITA.
Melnikov vector in higher dimension.
Nonl. Anal., TMA, 18(7), 657-670, 1992.
- 839
-
E. YANAGIDA.
Branching of double pulse solutions from single pulse solutions in
nerve equations.
J. Diff. Equat., 66, 243-262, 1987.
- 840
-
K. YOSIDA.
Functional Analysis, Grundl. d. math. Wissenschaften 123.
Springer Verlag, Berlin Heidelberg New York, 1978.
- 841
-
E. ZEIDLER.
Applied Functional Analysis, Appl. Math. Sciences 109.
Springer Verlag, Berlin Heidelberg New York, 1995.
- 842
-
K. ZHANG & F. BUSSE.
On hydrodynamic instabilities driven by the Hartmann boundary layer
in a rapidly rotating sphere.
J. Fluid Mech., 304, 263-283, 1995.
- 843
-
V. ZYKOV, O. STEINBOCK & S. MüLLER.
External forcing of spiral waves.
Chaos, 4, 509-518, 1994.
Reiner Lauterbach
Mon Sep 29 22:59:52 MEST 2003