Dmitry Turaev

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All published works

Action	Title	Year	Authors
+	Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy	2025	Ale Jan Homburg Jeroen S. W. Lamb Dmitry Turaev
+ PDF Chat	Non uniform expansion and additive noise imply random horseshoe and random Young tower	2025	Jeroen S. W. Lamb Giuseppe Tenaglia Dmitry Turaev
+	Generators of groups of Hamiltonian maps	2024	Pierre Berger Dmitry Turaev
+ PDF Chat	Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers $(-1,i,-i)$	2024	Efrosiniia Karatetskaia Alexey Kazakov Klim Safonov Dmitry Turaev
+ PDF Chat	Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with $\mathbb{Z}_4$-symmetry	2024	Efrosiniia Karatetskaia Alexey Kazakov Klim Safonov Dmitry Turaev
+ PDF Chat	Robust chaos in a totally symmetric network of four phase oscillators	2024	Efrosiniia Karatetskaia Alexey Kazakov Klim Safonov Dmitry Turaev
+ PDF Chat	Desynchronization of temporal solitons in Kerr cavities with pulsed injection	2024	D. A. Dolinina Guillaume Huyet Dmitry Turaev A. G. Vladimirov
+ PDF Chat	Desynchronization of temporal solitons in Kerr cavities with pulsed injection	2024	D. A. Dolinina G. Huyet Dmitry Turaev A. G. Vladimirov
+ PDF Chat	Persistence of heterodimensional cycles	2024	Dongchen Li Dmitry Turaev
+	On the Regularity of Invariant Foliations	2024	Dmitry Turaev
+ PDF Chat	Chaotic Behavior in Diffusively Coupled Systems	2023	Fernando C. de Queiroz Tiago Pereira Eddie Nijholt Dmitry Turaev
+ PDF Chat	Arnold diffusion in multidimensional convex billiards	2023	Andrew Clarke Dmitry Turaev
+	Control of the Schrödinger equation by slow deformations of the domain	2023	Alessandro Duca Romain Joly Dmitry Turaev
+ PDF Chat	Chaotic Behavior in Diffusively Coupled Systems	2023	Eddie Nijholt Tiago Pereira Fernando C. de Queiroz Dmitry Turaev
+	Horsehoes for a class of nonuniformly expanding random dynamical systems on the circle	2023	Jeroen S. W. Lamb Giuseppe Tenaglia Dmitry Turaev
+	Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2…	2022	Sajjad Bakrani Jeroen S. W. Lamb Dmitry Turaev
+ PDF Chat	Absolute stability and absolute hyperbolicity in systems with discrete time-delays	2022	Serhiy Yanchuk Matthias Wolfrum Tiago Pereira Dmitry Turaev
+ PDF Chat	Leonid Shilnikov and mathematical theory of dynamical chaos	2022	С. В. Гонченко Alexey Kazakov Dmitry Turaev Andrey Shilnikov
+	Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies	2022	Dongchen Li Xiaolong Li Katsutoshi Shinohara Dmitry Turaev
+	Learning reversible symplectic dynamics	2022	Riccardo Valperga Kevin R. Webster Victoria Klein Dmitry Turaev Jeroen S. W. Lamb
+	Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy	2022	Ale Jan Homburg Jeroen S. W. Lamb Dmitry Turaev
+	Generators of groups of Hamitonian maps	2022	Pierre Berger Dmitry Turaev
+	Universal bifurcation patterns in the unfolding of a pair of homoclinic tangencies	2022	С. В. Гонченко Dongchen Li Dmitry Turaev
+	Doubling of invariant curves and chaos in three-dimensional diffeomorphisms	2021	A. S. Gonchenko С. В. Гонченко Dmitry Turaev
+ PDF Chat	Fast growth of the number of periodic points arising from heterodimensional connections	2021	Masayuki Asaoka Katsutoshi Shinohara Dmitry Turaev
+ PDF Chat	A criterion for mixed dynamics in two-dimensional reversible maps	2021	Dmitry Turaev
+	Absolute stability and absolute hyperbolicity in systems with discrete time-delays	2021	Serhiy Yanchuk Matthias Wolfrum Tiago Pereira Dmitry Turaev
+ PDF Chat	Wild pseudohyperbolic attractor in a four-dimensional Lorenz system	2021	С. В. Гонченко Alexey Kazakov Dmitry Turaev
+	Persistence of Heterodimensional Cycles	2021	Dongchen Li Dmitry Turaev
+	Leonid Shilnikov and mathematical theory of dynamical chaos	2021	Alexey Kazakov С. В. Гонченко Dmitry Turaev Andrey Shilnikov
+	Absolute stability and absolute hyperbolicity in systems with discrete time-delays	2021	Serhiy Yanchuk Matthias Wolfrum Tiago Pereira Dmitry Turaev
+ PDF Chat	Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall	2020	Alessandro Duca Romain Joly Dmitry Turaev
+	Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: a case study in (mathbb{R}^4) with (mathbb{Z}_2)-symmetry and integral of motion	2020	Sajjad Bakrani Jeroen S. W. Lamb Dmitry Turaev
+ PDF Chat	Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors	2020	Dongchen Li Dmitry Turaev
+ PDF Chat	On Herman's positive entropy conjecture	2019	Pierre Berger Dmitry Turaev
+	Arnold Diffusion in Multi-Dimensional Convex Billiards	2019	Andrew Clarke Dmitry Turaev
+ PDF Chat	Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system	2018	Maciej J. Capiński Dmitry Turaev Piotr Zgliczyński
+	Wild pseudohyperbolic attractor in a four-dimensional Lorenz system	2018	Sergey S. Gonchenko Alexey Kazakov Dmitry Turaev
+	On the non-transverse homoclinic channel of a center manifold.	2018	Cezary Olszowiec Dmitry Turaev
+ PDF Chat	Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse	2018	Carl P. Dettmann V. M. Faǐn Dmitry Turaev
+	Fast growth of the number of periodic points arising from heterodimensional connections	2018	Masayuki Asaoka Katsutoshi Shinohara Dmitry Turaev
+	Wild pseudohyperbolic attractor in a four-dimensional Lorenz system	2018	С. В. Гонченко Alexey Kazakov Dmitry Turaev
+	On the non-transverse homoclinic channel of a center manifold	2018	Cezary Olszowiec Dmitry Turaev
+ PDF Chat	Equilibration of energy in slow–fast systems	2017	Kushal Shah Dmitry Turaev Vassili Gelfreich Vered Rom‐Kedar
+	Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse	2017	Carl P. Dettmann V. M. Faǐn Dmitry Turaev
+	On three types of dynamics, and the notion of attractor	2017	С. В. Гонченко Dmitry Turaev
+ PDF Chat	On three types of dynamics and the notion of attractor	2017	С. В. Гонченко Dmitry Turaev
+ PDF Chat	Arnold Diffusion in A Priori Chaotic Symplectic Maps	2017	Vassili Gelfreich Dmitry Turaev
+	On Herman's Positive Entropy Conjecture	2017	Pierre Berger Dmitry Turaev
+ PDF Chat	On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators	2017	A. S. Gonchenko С. В. Гонченко Alexey Kazakov Dmitry Turaev
+ PDF Chat	Existence of heterodimensional cycles near Shilnikov loops in systems with a $\mathbb{Z}_2$ symmetry	2017	Dongchen Li Dmitry Turaev
+	Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors	2017	Dongchen Li Dmitry Turaev
+	Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse	2017	Carl P. Dettmann V. M. Faǐn Dmitry Turaev
+	On Herman's Positive Entropy Conjecture	2017	Pierre Berger Dmitry Turaev
+	On three types of dynamics, and the notion of attractor	2017	С. В. Гонченко Dmitry Turaev
+ PDF Chat	Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model	2016	Ivan Ovsyannikov Dmitry Turaev
+ PDF Chat	Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics	2016	Masayuki Asaoka Katsutoshi Shinohara Dmitry Turaev
+ PDF Chat	On homoclinic orbits to center manifolds of elliptic–hyperbolic equilibria in Hamiltonian systems	2016	William Giles Jeroen S. W. Lamb Dmitry Turaev
+ PDF Chat	Exponential energy growth due to slow parameter oscillations in quantum mechanical systems	2016	Dmitry Turaev
+	Existence of Heterodimensional Cycles near Shilnikov Loops	2015	Dongchen Li Dmitry Turaev
+ PDF Chat	Leaky Fermi accelerators	2015	Kushal Shah Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	Maps Close to Identity and Universal Maps in the Newhouse Domain	2015	Dmitry Turaev
+ PDF Chat	Exponential energy growth in adiabatically changing Hamiltonian systems	2015	Tiago Pereira Dmitry Turaev
+	Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model	2015	Ivan Ovsyannikov Dmitry Turaev
+	Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics	2015	Masayuki Asaoka Katsutoshi Shinohara Dmitry Turaev
+ PDF Chat	Fast Fermi Acceleration and Entropy Growth	2015	Tiago Pereira Dmitry Turaev
+	Fast Fermi Acceleration and Entropy Growth	2015	Tiago Pereira Dmitry Turaev
+	Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral	2014	Dmitry Turaev
+ PDF Chat	Oscillating mushrooms: adiabatic theory for a non-ergodic system	2014	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	Showcase of Blue Sky Catastrophes	2014	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev
+ PDF Chat	Simple Scenarios of Onset of Chaos in Three-Dimensional Maps	2014	A. S. Gonchenko С. В. Гонченко Alexey Kazakov Dmitry Turaev
+	Scientific heritage of L.P. Shilnikov	2014	Valentin Afraimovich С. В. Гонченко L. M. Lerman Andrey Shilnikov Dmitry Turaev
+ PDF Chat	Energy growth for a nonlinear oscillator coupled to a monochromatic wave	2014	Dmitry Turaev Christopher Warner Sergey Zelik
+	Arnold Diffusion in a priory chaotic Hamiltonian systems	2014	Vassily Gelfreich Dmitry Turaev
+	Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion	2014	Ovsyannikov Dmitry Turaev Sergey Zelik
+ PDF Chat	Attractors and repellers near generic elliptic points of reversible maps	2014	С. В. Гонченко Jeroen S. W. Lamb Isabel Rios Dmitry Turaev
+	Arnold Diffusion in a priory chaotic Hamiltonian systems	2014	Vassily Gelfreich Dmitry Turaev
+ PDF Chat	Examples of Lorenz-like Attractors in Hénon-like Maps	2013	С. В. Гонченко A. S. Gonchenko Ivan Ovsyannikov Dmitry Turaev
+	Attractors and repellers near generic elliptic points of reversible maps	2012	С. В. Гонченко Jeroen S. W. Lamb Isabel Rios Dmitry Turaev
+	Energy growth for a nonlinear oscillator coupled to a monochromatic wave	2012	Dmitry Turaev Christopher Warner Sergey Zelik
+	Fermi acceleration and adiabatic invariants for non-autonomous billiards	2012	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+	On the effect of invisibility of stable periodic orbits at homoclinic bifurcations	2012	С. В. Гонченко Ivan Ovsyannikov Dmitry Turaev
+	Attractors and repellers near generic elliptic points of reversible maps	2012	С. В. Гонченко Jeroen S. W. Lamb Isabel González Ríos Dmitry Turaev
+	Energy growth for a nonlinear oscillator coupled to a monochromatic wave	2012	Dmitry Turaev Christopher H. Warner Sergey Zelik
+	Richness of Chaos in the Absolute Newhouse Domain	2011	Dmitry Turaev
+	Analytical search for homoclinic bifurcations in the Shimizu-Morioka model	2011	Gheorghe Tigan Dmitry Turaev
+	Maps close to identity and universal maps in the Newhouse domain	2010	Dmitry Turaev
+	Exponential energy growth in a Fermi accelerator	2010	Kushal Shah Dmitry Turaev Vered Rom‐Kedar
+	Universal dynamics in a neighborhood of a generic elliptic periodic point	2010	Vassili Gelfreich Dmitry Turaev
+	Diffeomorphisms which cannot be topologically conjugate to diffeomorphisms of a higher smoothness	2010	Dmitry Turaev
+	Analytical Proof of Space-Time Chaos in Ginzburg-Landau Equations	2010	Dmitry Turaev Sergey Zelik
+	Richness of Chaos in the Absolute	2010	Dmitry Turaev
+ PDF Chat	Analytical proof of space-time chaos in Ginzburg-Landau equations	2010	Dmitry Turaev Sergey Zelik
+	Maps close to identity and universal maps in the Newhouse domain	2010	Dmitry Turaev
+	On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors	2009	С. В. Гонченко L. P. Shilnikov Dmitry Turaev
+	Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter	2008	Vassili Gelfreich Dmitry Turaev
+	On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I	2008	С. В. Гонченко L. P. Shilnikov Dmitry Turaev
+ PDF Chat	Stability in High Dimensional Steep Repelling Potentials	2008	A. N. Rapoport Vered Rom‐Kedar Dmitry Turaev
+	Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors	2008	Dmitry Turaev L. P. Shilnikov
+ PDF Chat	Foam-like structure of the Universe	2007	A. A. Kirillov Dmitry Turaev
+	On smooth Hamiltonian flows limited to ergodic billiards	2007	Dmitry Turaev Vered Rom‐Kedar
+ PDF Chat	Approximating Multi-Dimensional Hamiltonian Flows by Billiards	2007	A. N. Rapoport Vered Rom‐Kedar Dmitry Turaev
+	Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps	2007	С. В. Гонченко Dmitry Turaev L. P. Shilnikov
+ PDF Chat	Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C$^{0}$ and C$^{r}$ - closeness Theorems	2006	A. N. Rapoport Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	The universal rotation curve of spiral galaxies	2006	A. A. Kirillov Dmitry Turaev
+	Homoclinic tangencies of arbitrarily high order in conservative two-dimensional maps	2006	С. В. Гонченко Dmitry Turaev L. P. Shilnikov
+	On some mathematical topics in classic synchronization	2005	Andrey Shilnikov L. P. Shilnikov Dmitry Turaev
+	THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS	2005	С. В. Гонченко Ivan Ovsyannikov Carles Simö Dmitry Turaev
+	On dynamic properties of diffeomorphisms with homoclinic tangency	2005	С. В. Гонченко Dmitry Turaev L. P. Shilnikov
+	An Example of a Resonant Homoclinic Loop of Infinite Cyclicity	2005	Dmitry Turaev
+	Blue-Sky Catastrophe in Singularly Perturbed Systems	2005	Andrey Shilnikov L. P. Shilnikov Dmitry Turaev
+	ON SOME MATHEMATICAL TOPICS IN CLASSICAL SYNCHRONIZATION.: A TUTORIAL	2004	Andrey Shilnikov L. P. Shilnikov Dmitry Turaev
+	Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations	2003	Dmitry Turaev Sergey Zelik
+	None	2003	Dmitry Turaev Vered Rom‐Kedar
+	Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps	2002	Dmitry Turaev
+	Modification of Newton's law of gravity at very large distances	2002	A. A. Kirillov Dmitry Turaev
+ PDF Chat	A scaling limit theorem for a class of superdiffusions	2002	János Engländer Dmitry Turaev
+	Soft billiards with corners	2002	Dmitry Turaev Vered Rom‐Kedar
+	Methods of Qualitative Theory in Nonlinear Dynamics	2001	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua
+	Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral	2001	Dmitry Turaev
+	Methods of Qualitative Theory in Nonlinear Dynamics	2001	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua
+	Corrections to the Newton and Coulomb potentials caused by effects of spacetime foam	2001	A. A. Kirillov Dmitry Turaev
+	None	2001	С. В. Гонченко Dmitry Turaev L. P. Shilnikov
+	A proof of Shilnikov’s theorem for 𝐶¹-smooth dynamical systems	2000	М. В. Шашков Dmitry Turaev
+	A scaling limit theorem for a class of superdiffusions	2000	János Engländer Dmitry Turaev
+	Big islands in dispersing billiard-like potentials	1999	Vered Rom‐Kedar Dmitry Turaev
+	An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop	1999	М. В. Шашков Dmitry Turaev
+	Elliptic islands appearing in near-ergodic flows	1998	Dmitry Turaev Vered Rom‐Kedar
+	An example of a wild strange attractor	1998	Dmitry Turaev L. P. Shilnikov
+ PDF Chat	Пример дикого странного аттрактора	1998	D. V. Turaev Dmitry Turaev L. P. Shilnikov L. P. Shilnikov
+	Methods of Qualitative Theory in Nonlinear Dynamics - Part I	1998	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua
+	Quasiattractors and homoclinic tangencies	1997	С. В. Гонченко L. P. Shilnikov Dmitry Turaev
+	Simple bifurcations leading to hyperbolic attractors	1997	L. P. Shilnikov Dmitry Turaev
+	Bifurcations of systems with structurally unstable homoclinic orbits and moduli of ω-equivalence	1997	С. В. Гонченко L. P. Shilnikov O. V. Sten'kin Dmitry Turaev
+	Complexity in the bifurcation structure of homoclinic loops to a saddle-focus	1997	С. В. Гонченко Dmitry Turaev Pierre Gaspard G. Nìcolis
+	COALESCENCE OF REVERSIBLE HOMOCLINIC ORBITS CAUSES ELLIPTIC RESONANCE	1996	Bernold Fiedler Dmitry Turaev
+	COMPLEXITY OF HOMOCLINIC BIFURCATIONS AND Ω-MODULI	1996	С. В. Гонченко O. V. Sten'kin Dmitry Turaev
+	ON THE COMPLEX BIFURCATION SET FOR A SYSTEM WITH SIMPLE DYNAMICS	1996	М. В. Шашков Dmitry Turaev
+	ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS	1996	Dmitry Turaev
+	Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits	1996	С. В. Гонченко L. P. Shilnikov Dmitry Turaev
+	On models with non-rough Poincaré homoclinic curves	1993	С. В. Гонченко L. P. Shilnikov Dmitry Turaev
+	On bifurcations of a homoclinic “figure eight” of a multi-dimensional saddle	1988	Dmitry Turaev
+	Bifurcation of torus-chaos quasi-attractors	1986	Dmitry Turaev L. P. Shilnikov
+	Bifurcations of two-dimensional dynamical systems close to a system with two separatrix loops	1985	Dmitry Turaev

Common Coauthors

Coauthor	Papers Together
С. В. Гонченко	30
L. P. Shilnikov	22
Vered Rom‐Kedar	13
Jeroen S. W. Lamb	11
Andrey Shilnikov	10
Alexey Kazakov	10
Tiago Pereira	8
Dongchen Li	8
Sergey Zelik	7
Vassili Gelfreich	7
Ivan Ovsyannikov	5
Pierre Berger	5
Katsutoshi Shinohara	5
Masayuki Asaoka	4
A. A. Kirillov	4
A. S. Gonchenko	4
Serhiy Yanchuk	3
Efrosiniia Karatetskaia	3
М. В. Шашков	3
Carl P. Dettmann	3
Kushal Shah	3
Matthias Wolfrum	3
V. M. Faǐn	3
Klim Safonov	3
Leon O. Chua	3
A. N. Rapoport	3
Fernando C. de Queiroz	2
Cezary Olszowiec	2
Christopher Warner	2
Alessandro Duca	2
János Engländer	2
A. G. Vladimirov	2
Isabel Rios	2
Sajjad Bakrani	2
Vassily Gelfreich	2
D. A. Dolinina	2
O. V. Sten'kin	2
Ale Jan Homburg	2
Giuseppe Tenaglia	2
Andrew Clarke	2
Eddie Nijholt	2
Romain Joly	2
Valentin Afraimovich	1
Bernold Fiedler	1
Xiaolong Li	1
G. Nìcolis	1
Piotr Zgliczyński	1
D. V. Turaev	1
Victoria Klein	1
Carles Simó	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms	1979	Sheldon E. Newhouse	39
+	ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS	1996	Dmitry Turaev	31
+	Methods of Qualitative Theory in Nonlinear Dynamics - Part I	1998	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua	30
+	Methods of Qualitative Theory in Nonlinear Dynamics	2001	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua	30
+	An example of a wild strange attractor	1998	Dmitry Turaev L. P. Shilnikov	27
+	On models with non-rough Poincaré homoclinic curves	1993	С. В. Гонченко L. P. Shilnikov Dmitry Turaev	26
+	Diffeomorphisms with infinitely many sinks	1974	Sheldon E. Newhouse	24
+	ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II	1973	N. K. Gavrilov L P Šil'nikov	23
+	Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps	2007	С. В. Гонченко Dmitry Turaev L. P. Shilnikov	23
+	ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE	1987	I M Ovsyannikov L. P. Shilnikov	22
+	A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE	1970	L P Šil'nikov	21
+	ON A POINCARÉ-BIRKHOFF PROBLEM	1967	L P Šil'nikov	21
+	High Dimension Diffeomorphisms Displaying Infinitely Many Periodic Attractors	1994	Jacob Palis Marcelo Viana	21
+	Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits	1996	С. В. Гонченко L. P. Shilnikov Dmitry Turaev	19
+	SYSTEMS WITH A HOMOCLINIC CURVE OF MULTIDIMENSIONAL SADDLE-FOCUS TYPE, AND SPIRAL CHAOS	1992	I M Ovsyannikov L. P. Shilnikov	18
+	On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I	2008	С. В. Гонченко L. P. Shilnikov Dmitry Turaev	18
+ PDF Chat	Bifurcations and stability of families of diffeomorphisms	1983	Sheldon E. Newhouse Jacob Palis Floris Takens	15
+	On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors	2009	С. В. Гонченко L. P. Shilnikov Dmitry Turaev	15
+ PDF Chat	Maps Close to Identity and Universal Maps in the Newhouse Domain	2015	Dmitry Turaev	14
+ PDF Chat	Structural stability of Lorenz attractors	1979	John Guckenheimer R. F. Williams	14
+	THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS	2005	С. В. Гонченко Ivan Ovsyannikov Carles Simö Dmitry Turaev	13
+	Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps	2002	Dmitry Turaev	13
+	Richness of Chaos in the Absolute Newhouse Domain	2011	Dmitry Turaev	12
+	Elliptic islands appearing in near-ergodic flows	1998	Dmitry Turaev Vered Rom‐Kedar	12
+	None	2001	С. В. Гонченко Dmitry Turaev L. P. Shilnikov	12
+	Quasi-Elliptic Periodic Points in Conservative Dynamical Systems.	2020	Sheldon E. Newhouse	12
+	Dynamical systems with elastic reflections	1970	Yakov G. Sinai	11
+	Methods of Qualitative Theory in Nonlinear Dynamics	2001	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua	11
+	Invariants of ?-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory	1990	С. В. Гонченко L. P. Shilnikov	11
+	Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors	2008	Dmitry Turaev L. P. Shilnikov	10
+ PDF Chat	Persistence and Smoothness of Invariant Manifolds for Flows	1971	Neil Fenichel	10
+	A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2}	2000	Amadeu Delshams Rafael de la Llave Tere M. Seara	10
+	Richness of chaotic dynamics in nonholonomic models of a celtic stone	2013	A. S. Gonchenko С. В. Гонченко Alexey Kazakov	10
+	Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits	2004	Jeroen S. W. Lamb O. V. Sten'kin	10
+	Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter	2008	Vassili Gelfreich Dmitry Turaev	10
+ PDF Chat	Invariant Manifolds	1977	Morris W. Hirsch Charles Pugh Michael Shub	10
+	Quasi-Elliptic Periodic Points in Conservative Dynamical Systems	1977	Sheldon E. Newhouse	10
+	Properties of some chaotic billiards with time-dependent boundaries	2000	Alexander Loskutov Alexey Ryabov Leonid Akinshin	9
+	The Dynamics of the Henon Map	1991	Michael Benedicks Lennart Carleson	9
+ PDF Chat	Examples of Lorenz-like Attractors in Hénon-like Maps	2013	С. В. Гонченко A. S. Gonchenko Ivan Ovsyannikov Dmitry Turaev	9
+	Unbounded growth of energy in nonautonomous Hamiltonian systems	1999	Sergey Bolotin Dmitrii Valer'evich Treschev	9
+	ON MODULI OF SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC POINCARÉ CURVE	1993	С. В. Гонченко L. P. Shilnikov	9
+	Persistent Nonhyperbolic Transitive Diffeomorphisms	1996	Christian Bonatti Lorenzo J. Díaz	8
+ PDF Chat	Пример дикого странного аттрактора	1998	D. V. Turaev Dmitry Turaev L. P. Shilnikov L. P. Shilnikov	8
+ PDF Chat	Plenty of elliptic islands for the standard family of area preserving maps	1994	Pedro Duarte	8
+ PDF Chat	How often do simple dynamical processes have infinitely many coexisting sinks?	1986	Laura Tedeschini Lalli James A. Yorke	8
+ PDF Chat	Small random perturbations of dynamical systems and the definition of attractors	1981	David Ruelle	8
+ PDF Chat	Tunable Fermi Acceleration in the Driven Elliptical Billiard	2008	F. Lenz F. Κ. Diakonos Peter Schmelcher	8
+	Fermi acceleration and adiabatic invariants for non-autonomous billiards	2012	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev	8
+	Exponential energy growth in a Fermi accelerator	2010	Kushal Shah Dmitry Turaev Vered Rom‐Kedar	8