Chong-Qing Cheng

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All published works

Action	Title	Year	Authors
+	Some recent developments in Arnold diffusion	2024	Chong-Qing Cheng Jinxin Xue
+ PDF Chat	Arnold diffusion for nearly integrable Hamiltonian systems	2023	Chong-Qing Cheng Jinxin Xue
+	Residues of Destructed Resonance Torus	2021	Chong-Qing Cheng Min Zhou
+ PDF Chat	Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems	2021	Qinbo Chen Chong-Qing Cheng
+	Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance	2020	Chong-Qing Cheng Min Zhou
+ PDF Chat	The genericity of Arnold diffusion in nearly integrable Hamiltonian systems	2019	Chong-Qing Cheng
+	Order property and modulus of continuity of weak KAM solutions	2018	Chong-Qing Cheng Jinxin Xue
+	The genericity of Arnold diffusion in nearly integrable Hamiltonian systems	2018	Chong-Qing Cheng
+ PDF Chat	Uniform hyperbolicity of invariant cylinder	2017	Chong-Qing Cheng
+	Regular dependence of the Peierls barriers on perturbations	2016	Qinbo Chen Chong-Qing Cheng
+	Non-degeneracy of extremal points in multi-dimensional space	2015	Chong-Qing Cheng Min Zhou
+	A way to cross double resonance	2015	Chong-Qing Cheng
+	Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom	2015	Chong-Qing Cheng Jinxin Xue
+	Uniform hyperbolicity of invariant cylinder	2015	Chong-Qing Cheng
+ PDF Chat	Destruction Of Lagrangian Torus For Positive Definite Hamiltonian Systems	2013	Chong-Qing Cheng Lin Wang
+	Hyperbolicity of minimal periodic orbits	2013	Chong-Qing Cheng Min Zhou
+	Asymptotic trajectories of KAM torus	2013	Jianlu Zhang Chong-Qing Cheng
+	Destruction of Lagrangian torus for positive definite Hamiltonian systems	2012	Chong-Qing Cheng Lin Wang
+	Variational construction of unbounded orbits in Lagrangian systems	2010	Chong-Qing Cheng Xia Li
+	SCIENCE CHINA Mathematics	2010	Chong-Qing Cheng Xia Liu
+	Connecting orbits of autonomous Lagrangian systems	2009	Xia Li Chong-Qing Cheng
+	Variational methods for the problem of Arnold diffusion	2008	Chong-Qing Cheng
+	Hamiltonian Systems: Stable or Unstable?	2006	Chong-Qing Cheng
+	Homoclinic orbits of positive definite Lagrangian systems	2006	Yong Zheng Chong-Qing Cheng
+	Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems	2004	Xiaojun Cui Chong-Qing Cheng Wei Cheng
+ PDF Chat	Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems	2004	Chong-Qing Cheng Jun Yan
+	Dynamics Around Minimal Hyperbolic Torus in Hamiltonian Systems	2003	Jun Yan Chong-Qing Cheng
+	Connecting orbits among Denjoy minimal sets for monotone twist map	2003	Wei Cheng Chong-Qing Cheng
+	Existence of infinite non-Birkoff periodic orbits for area-preserving monotone twist maps of cylinders	2000	Wei Cheng Chong-Qing Cheng
+	On the connecting orbits among local minimizers for monotone twist map	2000	Wei Cheng Chong-Qing Cheng
+	Lower-dimensional tori for generic Hamiltonian systems	1999	Shaoli Wang Chong-Qing Cheng
+	The nonmonotonic twist maps and basic hyperbolic sets	1998	Qin Yan Jian Cheng Chong-Qing Cheng
+	Metamorphoses of phase portraits of vector field in the case of symmetry of order 4	1992	Chong-Qing Cheng Yi‐Sui Sun
+	Invariant torus bifurcation series and evolution of chaos exhibited by a forced non-linear vibration system	1991	Chong-Qing Cheng
+	Hopf bifurcations in nonautonomous systems at points of resonance.	1990	Chong-Qing Cheng
+	Hope-Landau bifurcations of higher dimensional tori	1989	Chong-Qing Cheng

Common Coauthors

Coauthor	Papers Together
Wei Cheng	4
Jinxin Xue	4
Min Zhou	4
Qinbo Chen	2
Jun Yan	2
Lin Wang	2
Shaoli Wang	1
Xia Liu	1
Yi‐Sui Sun	1
Jian Cheng	1
Jianlu Zhang	1
Xiaojun Cui	1
Yong Zheng	1
Qin Yan	1
Xia Li	1
Xia Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Action minimizing invariant measures for positive definite Lagrangian systems	1991	John N. Mather	17
+	Generic properties and problems of minimizing measures of Lagrangian systems	1996	Ricardo Mañé	14
+ PDF Chat	Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems	2004	Chong-Qing Cheng Jun Yan	12
+	Evolution of slow variables in<b><i>a priori</i></b>unstable Hamiltonian systems	2004	Dmitrii Valer'evich Treschev	11
+	Connecting orbits of autonomous Lagrangian systems	2009	Xia Li Chong-Qing Cheng	9
+ PDF Chat	A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model	2006	Amadeu Delshams Rafael de la Llave Tere M. Seara	9
+ PDF Chat	On Aubry sets and Mather’s action functional	2003	Daniel Massart	8
+ PDF Chat	Connecting orbits of time dependent Lagrangian systems	2002	Patrick Bernard	8
+	Canonical perturbation theory via simultaneous approximation	1992	Pierre Lochak	8
+	The dynamics of pseudographs in convex Hamiltonian systems	2008	Patrick Bernard	8
+ PDF Chat	A generic property of families of Lagrangian systems	2008	Patrick Bernard Gonzalo Contreras Barandarián	7
+ PDF Chat	Arnold diffusion for nearly integrable Hamiltonian systems	2023	Chong-Qing Cheng Jinxin Xue	7
+	Non-existence of KAM torus	2011	Chong -Qing Cheng	6
+ PDF Chat	Connecting orbits between static classes for generic Lagrangian systems	2002	Gonzalo Contreras Gabriel P. Paternain	6
+	Arnold Diffusion. I: Announcement of Results	2004	John N. Mather	6
+	Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians	1987	David B. Bernstein Anatole Katok	6
+ PDF Chat	Uniform hyperbolicity of invariant cylinder	2017	Chong-Qing Cheng	6
+ PDF Chat	Symplectic aspects of Mather theory	2007	Patrick Bernard	5
+ PDF Chat	Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems	2010	Patrick Bernard	5
+	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	5
+	Upper bounds on Arnold diffusion times via Mather theory	2001	Ugo Bessi Luigi Chierchia Enrico Valdinoci	5
+	The discrete Frenkel-Kontorova model and its extensions	1983	S. Aubry P. Y. Le Daëron	4
+ PDF Chat	The genericity of Arnold diffusion in nearly integrable Hamiltonian systems	2019	Chong-Qing Cheng	4
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather	4
+	The stability problem and ergodic properties for classical dynamical systems	1968	Vladimir I. Arnold	4
+ PDF Chat	On the volume elements on a manifold	1965	Jürgen Moser	4
+	A strong form of Arnold diusion for two and a half degrees of freedom	2013	V. A. Kaloshin K. Zhang	4
+	Geometric properties of the scattering map of a normally hyperbolic invariant manifold	2007	Amadeu Delshams Rafael de la Llave Tere M. Seara	4
+	On minimizing measures of the action of autonomous Lagrangians	1995	Mario Carneiro	4
+ PDF Chat	Persistence and Smoothness of Invariant Manifolds for Flows	1971	Neil Fenichel	4
+	Non-degeneracy of extremal points in multi-dimensional space	2015	Chong-Qing Cheng Min Zhou	4
+ PDF Chat	Destruction of invariant circles	1988	John N. Mather	4
+ PDF Chat	Geography of resonances and Arnold diffusion in<i>a priori</i>unstable Hamiltonian systems	2009	Amadeu Delshams Gemma Huguet	4
+	Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems	2004	Xiaojun Cui Chong-Qing Cheng Wei Cheng	3
+	Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion	2016	Amadeu Delshams Rafael de la Llave Tere M. Seara	3
+	Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom	2015	Chong-Qing Cheng Jinxin Xue	3
+ PDF Chat	Failure of convergence of the Lax-Oleinik semi-group in the time periodic case	2000	Albert Fathi John N. Mather	3
+	Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders	2016	Patrick Bernard Vadim Kaloshin Ke Zhang	3
+ PDF Chat	A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results	2019	Marian Gidea Rafael de la Llave Tere M. Seara	3
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	3
+	Analytic destruction of invariant circles	1994	Giovanni Forni	3
+ PDF Chat	Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds	2007	Patrick Bernard	3
+	Unbounded growth of energy in nonautonomous Hamiltonian systems	1999	Sergey Bolotin Dmitrii Valer'evich Treschev	3
+	Symplectic manifolds and their lagrangian submanifolds	1971	Alan Weinstein	3
+	Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems	2001	Sergey Bolotin	3
+ PDF Chat	Arnold diffusion in perturbations of analytic integrable Hamiltonian systems	2001	Ernest Fontich Pau Martı́n	3
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi	3
+ PDF Chat	Homoclinic orbits and critical points of barrier functions	2015	Piermarco Cannarsa Wei Cheng	3
+	Infinity of minimal homoclinic orbits	2011	Min Zhou	3
+	Homoclinic orbits to invariant tori of Hamiltonian systems	1995	Sergey Bolotin	3