Vassili Gelfreich

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All published works

Action	Title	Year	Authors
+ PDF Chat	On exponentially accurate approximation of a near the identity map by an autonomous flow	2024	Vassili Gelfreich A. Vieiro
+ PDF Chat	Nekhoroshev theory and discrete averaging	2024	Vassili Gelfreich A. Vieiro
+ PDF Chat	Interpolating vector fields for near identity maps and averaging	2018	Vassili Gelfreich A. Vieiro
+ PDF Chat	Equilibration of energy in slow–fast systems	2017	Kushal Shah Dmitry Turaev Vassili Gelfreich Vered Rom‐Kedar
+ PDF Chat	Arnold Diffusion in A Priori Chaotic Symplectic Maps	2017	Vassili Gelfreich Dmitry Turaev
+ PDF Chat	Leaky Fermi accelerators	2015	Kushal Shah Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	Separatrix splitting at a Hamiltonian 02 iω bifurcation	2014	Vassili Gelfreich L. M. Lerman
+ PDF Chat	Oscillating mushrooms: adiabatic theory for a non-ergodic system	2014	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps	2014	Vassili Gelfreich Natalia G. Gelfreikh
+ PDF Chat	Dynamics of symplectic maps near a double resonance	2012	Vassili Gelfreich Carles Simö A. Vieiro
+	Fermi acceleration and adiabatic invariants for non-autonomous billiards	2012	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev
+ PDF Chat	Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example	2011	José Pedro Gaivão Vassili Gelfreich
+	Universal dynamics in a neighborhood of a generic elliptic periodic point	2010	Vassili Gelfreich Dmitry Turaev
+ PDF Chat	Unique normal forms for area preserving maps near a fixed point with neutral multipliers	2010	Vassili Gelfreich Natalia G. Gelfreikh
+ PDF Chat	Geometric shadowing in slow–fast Hamiltonian systems	2010	Niklas Brännström Emiliano De Simone Vassili Gelfreich
+ PDF Chat	Unique resonant normal forms for area-preserving maps at an elliptic fixed point	2009	Vassili Gelfreich Natalia G. Gelfreikh
+ PDF Chat	Width of the Homoclinic Zone in the Parameter Space for Quadratic Maps	2009	Vassili Gelfreich Vincent Naudot
+ PDF Chat	Analytic invariants associated with a parabolic fixed point in 2	2008	Vassili Gelfreich Vincent Naudot
+	Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter	2008	Vassili Gelfreich Dmitry Turaev
+	High-precision computations of divergent asymptotic series and homoclinic phenomena	2008	Carles Simó Vassili Gelfreich
+ PDF Chat	Positive-entropy geodesic flows on nilmanifolds	2008	Léo T. Butler Vassili Gelfreich
+ PDF Chat	Drift of slow variables in slow-fast Hamiltonian systems	2008	Niklas Brännström Vassili Gelfreich
+	Width of homoclinic zone for quadratic maps	2008	Vassili Gelfreich Vincent Naudot
+	Asymptotic series for the splitting of separatrices near a Hamiltonian bifurcation	2008	Vassili Gelfreich Niklas Brännström
+	SLOW MANIFOLDS IN A SINGULARLY PERTURBED HAMILTONIAN SYSTEM	2005	Vassili Gelfreich L. M. Lerman
+	Slow-fast hamiltonian dynamics near a ghost separatix loop	2005	L. M. Lerman Vassili Gelfreich
+	Hamiltonian bifurcations and local analytic classification	2004	Vassili Gelfreich
+	Chaotic Zone in the Bogdanov-Takens Bifurcation for Diffeomorphisms	2003	Vassili Gelfreich
+ PDF Chat	Near strongly resonant periodic orbits in a Hamiltonian system	2002	Vassili Gelfreich
+	Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system	2002	Vassili Gelfreich L. M. Lerman
+	Numerics and Exponential Smallness	2002	Vassili Gelfreich
+	Splitting of separatrices: perturbation theory and exponential smallness	2001	Vassili Gelfreich V. F. Lazutkin
+ PDF Chat	Borel summation and splitting of separatrices for the Hénon map	2001	Vassili Gelfreich David Sauzin
+	Exponentially Small Splitting of Separatrices near Bifurcations in Area-Preserving Maps	2000	Vassili Gelfreich
+	Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps	2000	Vassili Gelfreich
+	Exponentially small splitting of separatrices for area-preserving maps	2000	Vassili Gelfreich
+	A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map	1999	Vassili Gelfreich
+	Splitting of Separatrices for (Fast) Quasiperiodic Forcing	1999	Amadeu Delshams Àngel Jorba Tere M. Seara Vassili Gelfreich
+ PDF Chat	Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing	1997	Amadeu Delshams Vassili Gelfreich Àngel Jorba Tere M. Seara
+	Melnikov method and exponentially small splitting of separatrices	1997	Vassili Gelfreich
+	On analytical properties of normal forms	1997	Ernest Fontich Vassili Gelfreich
+ PDF Chat	Conjugation to a shift and the splitting of invariant manifolds	1997	Vassili Gelfreich
+	Examples of Hamiltonian systems with transversal homoclinic orbits	1995	Vassili Gelfreich D. K. Sharomov
+	A refined formula for the separatrix splitting for the standard map	1994	Vassili Gelfreich V. F. Lazutkin N. V. Svanidze
+	Exponentially small splittings in Hamiltonian systems	1991	Vassili Gelfreich V. F. Lazutkin M. B. Tabanov

Common Coauthors

Coauthor	Papers Together
Dmitry Turaev	7
A. Vieiro	4
Vered Rom‐Kedar	4
L. M. Lerman	4
Niklas Brännström	3
V. F. Lazutkin	3
Vincent Naudot	3
Natalia G. Gelfreikh	3
Amadeu Delshams	2
Àngel Jorba	2
Kushal Shah	2
Carles Simó	2
Tere M. Seara	2
Ernest Fontich	1
David Sauzin	1
Emiliano De Simone	1
D. K. Sharomov	1
M. B. Tabanov	1
N. V. Svanidze	1
Léo T. Butler	1
José Pedro Gaivão	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map	1999	Vassili Gelfreich	14
+ PDF Chat	The splitting of separatrices for analytic diffeomorphisms	1990	Ernest Fontich Carles Simö	11
+	The separation of motions in systems with rapidly rotating phase	1984	А. И. Нейштадт	11
+	Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps	2000	Vassili Gelfreich	10
+ PDF Chat	Borel summation and splitting of separatrices for the Hénon map	2001	Vassili Gelfreich David Sauzin	10
+ PDF Chat	Conjugation to a shift and the splitting of invariant manifolds	1997	Vassili Gelfreich	8
+	Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms	1996	Henk Broer Robert Roussarie Carles Simö	8
+	Splitting of separatrices: perturbation theory and exponential smallness	2001	Vassili Gelfreich V. F. Lazutkin	8
+	A refined formula for the separatrix splitting for the standard map	1994	Vassili Gelfreich V. F. Lazutkin N. V. Svanidze	7
+	Exponentially Small Splitting in Hamiltonian Systems	1994	Amadeu Delshams Tere M. Seara	6
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	5
+	Methods of Qualitative Theory in Nonlinear Dynamics	2001	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua	5
+	Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter	2008	Vassili Gelfreich Dmitry Turaev	5
+	The analytic invariants of an area‐preserving mapping near a hyperbolic fixed point	1956	Jürgen Moser	5
+ PDF Chat	On the adiabatic theorem for the Hamiltonian system of differential equations in the classical mechanics, I	1961	Takashi Kasuga	5
+	Properties of some chaotic billiards with time-dependent boundaries	2000	Alexander Loskutov Alexey Ryabov Leonid Akinshin	5
+ PDF Chat	Germs of Diffeomorphisms in the Plane	1981	Freddy Dumortier Paulo R. Rodrigues Robert Roussarie	5
+	Methods of Qualitative Theory in Nonlinear Dynamics - Part I	1998	L. P. Shilnikov Andrey Shilnikov Dmitry Turaev Leon O. Chua	5
+	Dynamical systems with elastic reflections	1970	Yakov G. Sinai	4
+	On the complex separatrices of some standard-like maps	1994	Yuri B. Suris	4
+ PDF Chat	Persistence and Smoothness of Invariant Manifolds for Flows	1971	Neil Fenichel	4
+ PDF Chat	An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum	1992	Amadeu Delshams Tere M. Seara	4
+ PDF Chat	Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations	1988	Philip Holmes Jerrold E. Marsden Jürgen Scheurle	4
+	Exponential energy growth in a Fermi accelerator	2010	Kushal Shah Dmitry Turaev Vered Rom‐Kedar	4
+	Rapidly Forced Planar Vector Fields and Splitting of Separatrices	1995	Ernest Fontich	4
+	Exponentially small splittings in Hamiltonian systems	1991	Vassili Gelfreich V. F. Lazutkin M. B. Tabanov	4
+	Mathematical methods of classical mechanics	1978	Владимир Игоревич Арнольд	4
+	High-precision computations of divergent asymptotic series and homoclinic phenomena	2008	Carles Simó Vassili Gelfreich	4
+	Mushrooms and other billiards with divided phase space	2001	Leonid Bunimovich	3
+	Asymptotic Methods in the Theory of Nonlinear Oscillations	1961	N. N. Bogolyubov Yu. A. Mitropol’skii	3
+	An averaging method for Hamiltonian systems, exponentially close to integrable ones	1996	Dmitry Treschev	3
+	Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues	1975	Р. И. Богданов	3
+	Diffusion speed in the Mather problem	2006	G. Piftankin	3
+ PDF Chat	Tunable Fermi Acceleration in the Driven Elliptical Billiard	2008	F. Lenz F. Κ. Diakonos Peter Schmelcher	3
+	Splitting of Separatrices for the Chirikov Standard Map	2005	V. F. Lazutkin	3
+	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	3
+ PDF Chat	On the ergodic properties of nowhere dispersing billiards	1979	Leonid Bunimovich	3
+	Fermi acceleration and adiabatic invariants for non-autonomous billiards	2012	Vassili Gelfreich Vered Rom‐Kedar Dmitry Turaev	3
+	None	2002	Alexander Loskutov Alexei Ryabov	3
+ PDF Chat	A normally elliptic Hamiltonian bifurcation	1993	Henk Broer S.-N. Chow Y. Kim Gert Vegter	3
+	Averaging under Fast Quasiperiodic Forcing	1994	Carles Simö	3
+	Elliptic islands appearing in near-ergodic flows	1998	Dmitry Turaev Vered Rom‐Kedar	3
+ PDF Chat	Singular Separatrix Splitting and the Melnikov Method: An Experimental Study	1999	Amadeu Delshams Rafael Ramírez-Ros	3
+ PDF Chat	Exponential Fermi acceleration in general time-dependent billiards	2014	Benjamin Batistić	3
+ PDF Chat	Beyond all orders: Singular perturbations in a mapping	1992	C. J. Amick Emily S. C. Ching Leo P. Kadanoff Vered Rom‐Kedar	3
+ PDF Chat	Near strongly resonant periodic orbits in a Hamiltonian system	2002	Vassili Gelfreich	3
+	Multiphase averaging for classical systems with applications to the adiabatic theorems	1988	Claude Meunier Pierre Lochak	3
+	Melnikov method and exponentially small splitting of separatrices	1997	Vassili Gelfreich	3
+	Exponentially small splitting of separatrices, matching in the complex plane and Borel summation	1993	Vincent Hakim K. Mallick	3
+ PDF Chat	Elements of Applied Bifurcation Theory	2004	Yuri A. Kuznetsov	3