Fachbereich Mathematik
FachbereichMathematik
Wissenschaftlicher Mitarbeiter Fachbereich Mathematik Differentialgleichungen und Dynamische Systeme Bundesstraße 55 (Geomatikum) 20146 Hamburg |
Raum 104 Tel.: +49 40 42838-5120 Fax: +49 40 42838-5117 E-Mail: ivan.ovsyannikov (at) uni-hamburg.de |
M. Gonchenko, S.V. Gonchenko, I. Ovsyannikov, A. Vieiro, On local and global aspects of the 1:4 resonace in conservative cubic Henon maps , Chaos 28, 043123 (2018). |
M. Gonchenko, S.V. Gonchenko, I. Ovsyannikov, Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps, Math. Model. Nat. Phenom., 12 1 (2017) 41-61. |
S. Gonchenko, I. Ovsyannikov, Homoclinic tangencies to resonant saddles and discrete Lorenz attractors. Discrete and Continuous Dynamical Systems S. vol. 10 (2017), Issue 2, p. 273-288. |
Ovsyannikov I. I. and Turaev D. V. Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model. Nonlinearity 30 (2017) 115-137. |
I. I. Ovsyannikov, D. Turaev, S. Zelik Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion. Modeling and Analysis of Information Systems 22 (2015), p. 327-336. |
Gonchenko S. V., Gordeeva O. V., Lukyanov V. I., Ovsyannikov I. I. On bifurcations of two-dimensional diffeomorphisms with a homoclinic tangency to a saddle-node fixed point, Vestnik NNSU, 2 (2014), p. 198-209. |
Gonchenko, S. V., Gordeeva, O. V., Lukyanov, V. I., Ovsyannikov, I. I. On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node. Regul. Chaotic Dyn. 19 (2014), no. 4, p. 461-473. |
Gonchenko, S. V., Ovsyannikov, I. I., Tatjer, J. C. Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points. Regul. Chaotic Dyn. 19 (2014), no. 4, p. 495-505. |
Gonchenko, S. V., Ovsyannikov, I. I. On global bifurcations of three-dimensional diffeomorphisms leading to Lorenz-like attractors. Math. Model. Nat. Phenom. 8 (2013), no. 5, p. 71-83. |
Gonchenko, S. V., Gonchenko, A. S., Ovsyannikov, I. I., Turaev, D. V. Examples of Lorenz-like attractors in Hénon-like maps. Math. Model. Nat. Phenom. 8 (2013), no. 5, p. 32-54. |
Ovsyannikov I. I. On the stability of the Chaplygin ball motion on a plane with an arbitrary friction law, Vestnik UdSU, 4 (2012), p. 140-145. |
Gonchenko, S. V., Ovsyannikov, I. I., Turaev, D. On the effect of invisibility of stable periodic orbits at homoclinic bifurcations. Phys. D 241 (2012), no. 13, p. 1115-1122. |
Gonchenko S. V., Ovsyannikov I. I., On bifurcations of three-dimensional diffeomorphisms having a non-transverse heteroclinic cycle with saddle-foci, Nonlinear Dynamics, 6:1 (2010), p. 61-77. |
Gonchenko, S. V., Meiss, J. D., Ovsyannikov, I. I. Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation. Regul. Chaotic Dyn. 11 (2006), no. 2, p. 191-212. |
Gonchenko, S. V., Ovsyannikov, I. I., Simó, C., Turaev, D. Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 15 (2005), no. 11, p. 3493-3508. |
Gonchenko, V. S., Ovsyannikov, I. I. On bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a "neutral'' saddle fixed point. Zapiski Nauchnyh Seminarov POMI, 300(2003), 167-172. |
Conference Proceedings |
Gonchenko V. S., Ovsyannikov I. I. Bifurcations of the closed invariant curve birth in the generalized Henon map (in Russian), Mathematics and Cybernetisc: Proceedings of the Scientific and Technical Conference of the VMK Dept. and the Inst. of Appl. Math. and Cyb., NNSU, 2003, November 28-29, p. 101-103. J. Math. Sci. (N. Y.) 128 (2005), no. 2, p. 2774-2777. |
Teaching handbooks |
S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov, I. I. Ovsyannikov, E. V. Zhuzhoma, Elements of the mathematical theory of the rigid body motion, Nizhny Novgorod State University, 2012, 56 pages. |
Preprints |
L. Siemer, I. Ovsyannikov, J. Rademacher. Existence of Inhomogeneous Domain Walls in Nanomagnetic Structures. https://arxiv.org/abs/1907.07470v2 - to appear in Nonlinearity. |
I. Ovsyannikov. On birth of discrete Lorenz attractors under bifurcations of three-dimensional maps with nontransversal heteroclinic cycles. https://arxiv.org/abs/1705.04621. |
Wintersemester 2019/2020: | Ubungen 65-831 Optimierung fur Studierende der Informatik |
Seminar 65-234 Seminar uber Differentialgleichungen und Dynamische Systeme | |
Sommersemester 2019: | Vorlesung+Ubungen 65-071 Gewohnliche Differentialgleichungen und Dynamische Systeme |
Wintersemester 2018/2019: | Ubungen 65-431 Non linear Systems |
Ubungen 65-439 Advanced Topics in Fluid Dynamics |
Sommersemester 2018: | Seminar Elements of Theory of Chaos |
Wintersemester 2017/2018: | Vorlesung+Ubungen Differential Equations, Dynamics and Mechanics |
Sommersemester 2017: | Seminar Bifurcations and Chaos |
Wintersemester 2016/2017: | Vorlesung+Ubungen Qualitative Analysis of Ordinary Differential Equations |
Wintersemester 2015/2016: | Vorlesung Advanced Dynamical Systems |
Sommersemester 2015: | Ubungen Introduction to Dynamical Systems |
Wintersemester 2014/2015: | Ubungen Analysis III |
Fall Semester 2016: | Vorlesung Programming in Python I |
Fall Semester 2015: | Vorlesung Programming in Python I |
Spring Semester 2015: | Vorlesung Engineering and Scientific Mathematics II |
Vorlesung Linear Algebra II |