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sergey gonchenko
sergey gonchenko
Research Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod State University
Verified email at imperial.ac.uk
Title
Cited by
Cited by
Year
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
SV Gonchenko, LP Shil’nikov, DV Turaev
Chaos: An Interdisciplinary Journal of Nonlinear Science 6 (1), 15-31, 1996
1651996
Three-dimensional Hénon-like maps and wild Lorenz-like attractors
SV Gonchenko, II Ovsyannikov, C Simó, D Turaev
International Journal of Bifurcation and Chaos 15 (11), 3493-3508, 2005
1622005
On models with non-rough Poincaré homoclinic curves
SV Gonchenko, LP Shil'Nikov, DV Turaev
Physica D: Nonlinear Phenomena 62 (1-4), 1-14, 1993
1311993
Richness of chaotic dynamics in nonholonomic models of a Celtic stone
AS Gonchenko, SV Gonchenko, AO Kazakov
Regular and Chaotic Dynamics 18 (5), 521-538, 2013
1062013
On the existence of Newhouse regions near systems with non-rough Poincaré homoclinic curve (multidimensional case)
SV Gonchenko, DV Turaev, LP Shilnikov
Russ. Acad. Sci. Dokl. Math 47, 268-273, 1993
103*1993
DYNAMICAl SYSTEMS WITH STRUCTURALLY UNSTABLE HOMOCLINIC CURVES
SV Gonchenko, LP Shilnikov
DOKLADY AKADEMII NAUK SSSR 286 (5), 1049-1053, 1986
95*1986
Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve
SV Gonchenko, DV Turaev, LP Shilnikov
Doklady Akademii nauk 330 (2), 144-147, 1993
911993
Homoclinic tangencies of arbitrary order in Newhouse domains
SV Gonchenko, DV Turaev, LP Shilnikov
Итоги науки и техники. Серия «Современная математика и ее приложения …, 1999
88*1999
Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
SV Gonchenko, JD Meiss, II Ovsyannikov
Regular and Chaotic Dynamics 11 (2), 191-212, 2006
842006
Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
SV Gonchenko, DV Turaev, P Gaspard, G Nicolis
Nonlinearity 10 (2), 409, 1997
841997
Towards scenarios of chaos appearance in three-dimensional maps
AR Khokhlov, NV Brilliantov, ST Belyakin, AR Dzhanoev, EA Zhuchkova, ...
Rus. J. Nonlin. Dyn 8 (1), 3-28, 2012
83*2012
On Newhouse domains of two-dimensional diffeomorphisms which are close to a diffeomorphism with a structurally unstable heteroclinic cycle
SV Gonchenko, LP Shilnikov, DV Turaev
Proc. Steklov Inst. Math 216, 70-118, 1997
81*1997
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
S Gonchenko, D Turaev, L Shilnikov
Nonlinearity 20 (2), 241, 2007
772007
On models with a structurally unstable homoclinic Poincaré curve
SV Gonchenko, DV Turaev, LP Shilnikov
Sov. Math. Dokl 44 (2), 422-426, 1992
77*1992
On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I
SV Gonchenko, LP Shilnikov, DV Turaev
Nonlinearity 21 (5), 923, 2008
742008
Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory
SV Gonchenko, LP Shilnikov
Ukrainian Math. J 42 (2), 134-140, 1990
72*1990
Dynamical phenomena in multidimensional systems with non-rough Poincaré homoclinic curve
SV Gonchenko, DV Turaev, LP Shilnikov
DOKLADY AKADEMII NAUK 330 (2), 144-147, 1993
70*1993
On moduli of systems with a structurally unstable homoclinic Poincaré curve
SV Gonchenko, LP Shil'nikov
Russian Academy of Sciences. Izvestiya Mathematics 41 (3), 417, 1993
70*1993
Simple scenarios of onset of chaos in three-dimensional maps
A Gonchenko, S Gonchenko, A Kazakov, D Turaev
International Journal of Bifurcation and Chaos 24 (08), 1440005, 2014
692014
Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
AS Gonchenko, SV Gonchenko
Physica D: Nonlinear Phenomena 337, 43-57, 2016
642016
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