S. Gonchenko

发表

Bifurcations of systems with structurally unstable homoclinic orbits and moduli of ω-equivalence

L. Shilnikov, D. Turaev, S. Gonchenko, 1997 .

Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight

C. Simó, A. Vieiro, S. Gonchenko, 2013 .

On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps.

A. Vieiro, S. Gonchenko, M. Gonchenko, 2017, Chaos.

On a homoclinic origin of Hénon-like maps

V. S. Gonchenko, L. Shilnikov, S. Gonchenko, 2010 .

Complexity in the bifurcation structure of homoclinic loops to a saddle-focus

Pierre Gaspard, Dmitry Turaev, Sergey V. Gonchenko, 1997 .

On dynamics and bifurcations of area-preserving maps with homoclinic tangencies

A. Delshams, S. Gonchenko, M. Gonchenko, 2014, 1407.5473.

Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies

A. Delshams, S. Gonchenko, M. Gonchenko, 2014, 1412.1128.

On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators

D. Turaev, A. Kazakov, S. Gonchenko, 2016, 1604.02417.

Three-Dimensional HÉnon-like Maps and Wild Lorenz-like attractors

Dmitry Turaev, Sergey V. Gonchenko, I. I. Ovsyannikov, 2005, Int. J. Bifurc. Chaos.

Richness of chaotic dynamics in nonholonomic models of a celtic stone

A. Kazakov, S. Gonchenko, A. Gonchenko, 2013, Regular and Chaotic Dynamics.

Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps

V. S. Gonchenko, J. C. Tatjer, S. Gonchenko, 2007 .

Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps

S. Gonchenko, A. Gonchenko, 2015, 1510.02252.

Shilnikov’s Cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps

S. Gonchenko, M. C. Li, 2010 .

Scientific heritage of L.P. Shilnikov

V. Afraimovich, A. Shilnikov, D. Turaev, 2014 .

On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors

Dmitry Turaev, Sergey V. Gonchenko, Leonid P Shilnikov, 2009 .

CHAOTIC DYNAMICS OF THREE-DIMENSIONAL H ENON MAPS THAT ORIGINATE FROM A HOMOCLINIC BIFURCATION

I. I. Ovsyannikov, J. D. Meiss, J. Meiss, 2005, nlin/0510061.

On the existence of infinitely many stable and unstable invariant tori for systems from Newhouse regions with heteroclinic tangencies

L. Shilnikov, S. Gonchenko, O. Sten’Kin, 2006 .

On three types of dynamics and the notion of attractor

D. Turaev, S. Gonchenko, 2017, Proceedings of the Steklov Institute of Mathematics.

On Bifurcations of Homoclinic Tangencies in Area-Preserving Maps on Non-orientable Manifolds

A. Delshams, S. Gonchenko, M. Gonchenko, 2012 .

On the effect of invisibility of stable periodic orbits at homoclinic bifurcations

Dmitry Turaev, I. I. Ovsyannikov, D. Turaev, 2012 .

On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies

S. Gonchenko, M. Gonchenko, 2009 .

On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I

L. Shilnikov, D. Turaev, S. Gonchenko, 2008 .

On Global Bifurcations of Three-dimensional Diffeomorphisms Leading to Lorenz-like Attractors

S. Gonchenko, I. Ovsyannikov, 2013 .

Attractors and repellers near generic elliptic points of reversible maps

D. Turaev, J. Lamb, I. Rios, 2012, 1212.1931.

Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps

L. Shilnikov, D. Turaev, S. Gonchenko, 2007 .

On Two-Dimensional Area-Preserving Diffeomorphisms with Infinitely Many Elliptic Islands

L. Shilnikov, S. Gonchenko, 2000 .

2 4 O ct 2 00 5 Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation

S. Gonchenko, 2008 .

Dynamical phenomena in systems with structurally unstable Poincare homoclinic orbits.

L. Shilnikov, D. Turaev, D. V. Turaev, 1996, Chaos.

Three-dimensional Dissipative Diffeomorphisms with Codimension Two Homoclinic Tangencies and Generalized H Enon Maps

V. S. Gonchenko, J. C. Tatjer, S. V. Gonchenko, 2022 .

On Moduli of Systems with a Structurally Unstable Homoclinic POINCARÉ Curve

L. Shilnikov, S. Gonchenko, 1993 .

Reversible perturbations of conservative Hénon-like maps

S. Gonchenko, M. Gonchenko, K. Safonov, 2020, Discrete & Continuous Dynamical Systems - A.

Three Types of Attractors and Mixed Dynamics of Nonholonomic Models of Rigid Body Motion

A. Kazakov, S. Gonchenko, A. Gonchenko, 2020 .

Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors

A. D. Kozlov, Sergey V. Gonchenko, Alexander S. Gonchenko, 2018, Int. J. Bifurc. Chaos.

Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders

S. Gonchenko, Ming-Chia Li, M. Malkin, 2018 .

Homoclinic tangencies to resonant saddles and discrete Lorenz attractors

S. Gonchenko, I. Ovsyannikov, 2015, 1509.00264.

Lorenz-like attractors in a nonholonomic model of a rattleback

S. Gonchenko, A. Gonchenko, 2014, 1412.1656.

Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points

J. C. Tatjer, S. Gonchenko, I. Ovsyannikov, 2014 .

Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points

J. C. Tatjer, S. Gonchenko, I. Ovsyannikov, 2014, Regular and Chaotic Dynamics.

On models with non-rough Poincare´ homoclinic curves

Dmitry Turaev, Sergey V. Gonchenko, Leonid P Shilnikov, 1993 .

D S ] 3 J un 2 02 0 Reversible perturbations of conservative Hénon-like maps

S. Gonchenko, M. Gonchenko, K. Safonov, 2021 .

On dynamical properties of diffeomorphisms with homoclinic tangencies

L. Shilnikov, D. Turaev, S. V. Gonchenko, 2005 .

Simple Scenarios of Onset of Chaos in Three-Dimensional Maps

Dmitry Turaev, Sergey V. Gonchenko, Alexander S. Gonchenko, 2014, Int. J. Bifurc. Chaos.

On Topological and Hyperbolic Properties of Systems with Homoclinic Tangencies

S. Gonchenko, Ming-Chia Li, A. Gonchenko, 2015 .

Generalized HÉnon Maps and Smale Horseshoes of New Types

SERGEY GONCHENKO, MING-CHIA LI, MIKHAIL MALKIN, 2008, Int. J. Bifurc. Chaos.