Homepages
(hier geht es zur ggf. vollständigeren Homepage im alten Layout)
(this way to the possibly more complete Homepage in the old layout)
(this way to the possibly more complete Homepage in the old layout)
Ivan Ovsyannikov
|
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 |
Research interests
Bifurcations, Dynamical chaos, Differential-algebraic equations, Mechanics, MicromagneticsPublications
| 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. |
Lehrveranstaltungen an der Universität Hamburg (UHH)
| 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 |
Lehrveranstaltungen an der Universität Bremen
| 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 |
Lehrveranstaltungen an der Jacobs University Bremen
| 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 |