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Author ID: cheng.chong-qing Recent zbMATH articles by "Cheng, Chong-Qing"
Published as: Cheng, Chong-Qing; Cheng, Chongqing; Cheng, Chong Qing; Cheng, Congqing
Homepage: http://math.nju.edu.cn/~chengcq/
External Links: MGP · Wikidata
Documents Indexed: 61 Publications since 1989, including 6 Additional arXiv Preprints
Biographic References: 1 Publication
Co-Authors: 18 Co-Authors with 39 Joint Publications
701 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 352 times in 223 Documents Cited by Year
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
59
1990
Existence of diffusion orbits in a priori unstable Hamiltonian systems. Zbl 1098.37055
Cheng, Chong-Qing; Yan, Jun
52
2004
Arnold diffusion in Hamiltonian systems: a priori unstable case. Zbl 1179.37081
Cheng, Chong-Qing; Yan, Jun
39
2009
Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems. Zbl 0861.58030
Cheng, Chongqing
35
1996
Existence of KAM tori in degenerate Hamiltonian systems. Zbl 0813.58050
Cheng, Chong-Qing; Sun, Yi-Sui
32
1994
Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems. Zbl 0935.70013
Cheng, Chong-Qing
18
1999
The surviving of lower dimensional tori from a resonant torus of Hamiltonian systems. Zbl 0936.37029
Cheng, Chong-Qing; Wang, Shaoli
14
1999
Destruction of Lagrangian torus for positive definite Hamiltonian systems. Zbl 1276.37042
Cheng, Chong-Qing; Wang, Lin
14
2013
Existence of periodically invariant curves in 3-dimensional measure- preserving mappings. Zbl 0705.70014
Cheng, Chongqing; Sun, Yisui
10
1990
Dynamics around the double resonance. Zbl 1378.37103
Cheng, Chong-Qing
10
2017
Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials. Zbl 1360.65310
Sadri, K.; Amini, A.; Cheng, C.
10
2017
Connecting orbits of autonomous Lagrangian systems. Zbl 1183.37104
Li, Xia; Cheng, Chong-Qing
9
2010
Non-existence of KAM torus. Zbl 1209.37065
Cheng, Chong Qing
7
2011
A new operational method to solve Abel’s and generalized Abel’s integral equations. Zbl 1426.65218
Sadri, K.; Amini, A.; Cheng, C.
7
2018
The genericity of Arnold diffusion in nearly integrable Hamiltonian systems. Zbl 1417.37211
Cheng, Chong-Qing
7
2019
Global normally hyperbolic invariant cylinders in Lagrangian systems. Zbl 1381.37071
Cheng, Chong-Qing; Zhou, Min
6
2016
A new numerical method for delay and advanced integro-differential equations. Zbl 1462.65225
Sadri, K.; Amini, A.; Cheng, C.
5
2018
Uniform hyperbolicity of invariant cylinder. Zbl 1405.53117
Cheng, Chong-Qing
5
2017
Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems. Zbl 1066.37011
Cui, Xiaojun; Cheng, Chong-Qing; Cheng, Wei
4
2005
Variational construction of diffusion orbits for positive definite Lagrangians. Zbl 1241.37008
Cheng, Chong-Qing
3
2011
Order property and modulus of continuity of weak KAM solutions. Zbl 1387.37060
Cheng, Chong-Qing; Xue, Jinxin
3
2018
Invariant torus bifurcation series and evolution of chaos exhibited by a forced nonlinear vibration system. Zbl 0737.70012
Cheng, Chongqing
3
1991
Metamorphoses of phase portraits of vector field in the case of symmetry of order 4. Zbl 0753.34023
Cheng, Chong-Qing; Sun, Yi-Sui
3
1992
Non-degeneracy of extremal points in multi-dimensional space. Zbl 1344.37022
Cheng, Chong Qing; Zhou, Min
3
2015
Variational methods for the problem of Arnold diffusion. Zbl 1144.37024
Cheng, Chong-Qing
2
2008
Variational construction of unbounded orbits in Lagrangian systems. Zbl 1189.37065
Cheng, Chong-Qing; Li, Xia
2
2010
Homoclinic orbits of positive definite Lagrangian systems. Zbl 1104.37042
Zheng, Yong; Cheng, Chong-Qing
2
2006
Regular dependence of the Peierls barriers on perturbations. Zbl 1358.37082
Chen, Qinbo; Cheng, Chong-Qing
2
2017
Variational approach to Arnold diffusion. Zbl 1427.37049
Cheng, Chong-Qing; Xue, Jinxin
2
2019
Birkhoff lower-dimensional tori in Hamiltonian systems. Zbl 0910.70013
Wang, Shaoli; Cheng, Chongqing
1
1997
Hopf bifurcations in nonautonomous systems at points of resonance. Zbl 0692.34044
Cheng, Chongqing
1
1990
Minimal invariant tori in the resonant regions for nearly integrable Hamiltonian systems. Zbl 1073.37071
Cheng, Chong-Qing
1
2005
Lower-dimensional tori for generic Hamiltonian systems. Zbl 1195.37038
Wang, Shaoli; Cheng, Chongqing
1
1999
Dynamical behavior of two-soliton solution exhibited by perturbed sine- Gordon equation. Zbl 0829.35110
Cheng, Chong-Qing; Küpper, Tassilo
1
1995
Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems. Zbl 1459.37049
Chen, Qinbo; Cheng, Chong-Qing
1
2021
Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems. Zbl 1459.37049
Chen, Qinbo; Cheng, Chong-Qing
1
2021
The genericity of Arnold diffusion in nearly integrable Hamiltonian systems. Zbl 1417.37211
Cheng, Chong-Qing
7
2019
Variational approach to Arnold diffusion. Zbl 1427.37049
Cheng, Chong-Qing; Xue, Jinxin
2
2019
A new operational method to solve Abel’s and generalized Abel’s integral equations. Zbl 1426.65218
Sadri, K.; Amini, A.; Cheng, C.
7
2018
A new numerical method for delay and advanced integro-differential equations. Zbl 1462.65225
Sadri, K.; Amini, A.; Cheng, C.
5
2018
Order property and modulus of continuity of weak KAM solutions. Zbl 1387.37060
Cheng, Chong-Qing; Xue, Jinxin
3
2018
Dynamics around the double resonance. Zbl 1378.37103
Cheng, Chong-Qing
10
2017
Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials. Zbl 1360.65310
Sadri, K.; Amini, A.; Cheng, C.
10
2017
Uniform hyperbolicity of invariant cylinder. Zbl 1405.53117
Cheng, Chong-Qing
5
2017
Regular dependence of the Peierls barriers on perturbations. Zbl 1358.37082
Chen, Qinbo; Cheng, Chong-Qing
2
2017
Global normally hyperbolic invariant cylinders in Lagrangian systems. Zbl 1381.37071
Cheng, Chong-Qing; Zhou, Min
6
2016
Non-degeneracy of extremal points in multi-dimensional space. Zbl 1344.37022
Cheng, Chong Qing; Zhou, Min
3
2015
Destruction of Lagrangian torus for positive definite Hamiltonian systems. Zbl 1276.37042
Cheng, Chong-Qing; Wang, Lin
14
2013
Non-existence of KAM torus. Zbl 1209.37065
Cheng, Chong Qing
7
2011
Variational construction of diffusion orbits for positive definite Lagrangians. Zbl 1241.37008
Cheng, Chong-Qing
3
2011
Connecting orbits of autonomous Lagrangian systems. Zbl 1183.37104
Li, Xia; Cheng, Chong-Qing
9
2010
Variational construction of unbounded orbits in Lagrangian systems. Zbl 1189.37065
Cheng, Chong-Qing; Li, Xia
2
2010
Arnold diffusion in Hamiltonian systems: a priori unstable case. Zbl 1179.37081
Cheng, Chong-Qing; Yan, Jun
39
2009
Variational methods for the problem of Arnold diffusion. Zbl 1144.37024
Cheng, Chong-Qing
2
2008
Homoclinic orbits of positive definite Lagrangian systems. Zbl 1104.37042
Zheng, Yong; Cheng, Chong-Qing
2
2006
Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems. Zbl 1066.37011
Cui, Xiaojun; Cheng, Chong-Qing; Cheng, Wei
4
2005
Minimal invariant tori in the resonant regions for nearly integrable Hamiltonian systems. Zbl 1073.37071
Cheng, Chong-Qing
1
2005
Existence of diffusion orbits in a priori unstable Hamiltonian systems. Zbl 1098.37055
Cheng, Chong-Qing; Yan, Jun
52
2004
Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems. Zbl 0935.70013
Cheng, Chong-Qing
18
1999
The surviving of lower dimensional tori from a resonant torus of Hamiltonian systems. Zbl 0936.37029
Cheng, Chong-Qing; Wang, Shaoli
14
1999
Lower-dimensional tori for generic Hamiltonian systems. Zbl 1195.37038
Wang, Shaoli; Cheng, Chongqing
1
1999
Birkhoff lower-dimensional tori in Hamiltonian systems. Zbl 0910.70013
Wang, Shaoli; Cheng, Chongqing
1
1997
Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems. Zbl 0861.58030
Cheng, Chongqing
35
1996
Dynamical behavior of two-soliton solution exhibited by perturbed sine- Gordon equation. Zbl 0829.35110
Cheng, Chong-Qing; Küpper, Tassilo
1
1995
Existence of KAM tori in degenerate Hamiltonian systems. Zbl 0813.58050
Cheng, Chong-Qing; Sun, Yi-Sui
32
1994
Metamorphoses of phase portraits of vector field in the case of symmetry of order 4. Zbl 0753.34023
Cheng, Chong-Qing; Sun, Yi-Sui
3
1992
Invariant torus bifurcation series and evolution of chaos exhibited by a forced nonlinear vibration system. Zbl 0737.70012
Cheng, Chongqing
3
1991
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
59
1990
Existence of periodically invariant curves in 3-dimensional measure- preserving mappings. Zbl 0705.70014
Cheng, Chongqing; Sun, Yisui
10
1990
Hopf bifurcations in nonautonomous systems at points of resonance. Zbl 0692.34044
Cheng, Chongqing
1
1990
all top 5

Cited by 234 Authors

17 Xu, Junxiang
16 Cheng, Chong-Qing
12 de la Llave, Rafael
11 Gentile, Guido
11 Li, Yong
8 Delshams, Amadeu
8 Gidea, Marian
8 Meiss, James D.
8 M-Seara, Tere
6 Kaloshin, Vadim Yu.
6 You, Jiangong
6 Zhang, Jianlu
5 Chen, Qinbo
5 Sevryuk, Mikhail Borisovich
5 Wang, Lin
5 Zhou, Min
4 Bernard, Patrick
4 Bolotin, Sergeĭ Vladimirovich
4 Clarke, Andrew
4 Corsi, Livia
4 Féjoz, Jacques
4 Guardia, Marcel
4 Li, Jia
4 Mezić, Igor
4 Peralta-Salas, Daniel
4 Zhang, Dongfeng
3 Borisov, Alekseĭ Vladimirovich
3 Clercx, Herman J. H.
3 Cong, Fuzhong
3 Fox, Adam M.
3 Li, Xia
3 Lu, Xuezhu
3 Mamaev, Ivan Sergeevich
3 Pesin, Yakov Borisovich
3 Qian, Weichao
3 Speetjens, Michel F. M.
3 Wang, Shaoli
3 Xue, Jinxin
3 Yan, Jun
3 Yang, Xue
3 Yi, Yingfei
3 Zhao, Xuefeng
2 Arnaud, Marie-Claude
2 Bounemoura, Abed Bounemoura
2 Chen, Jianyu
2 Cheng, Wei
2 Cui, Xiaojun
2 Danesi, Veronica
2 Gallavotti, Giovanni M.
2 Gasull, Armengol
2 Haller, George
2 Han, Yuecai
2 Hanßmann, Heinz
2 Hu, Huyi
2 Huang, Debin
2 Huang, Peng
2 Jiang, Shunjun
2 Khesin, Boris A.
2 Kilin, Aleksandr Aleksandrovich
2 Kuksin, Sergeĭ B.
2 Li, Xiong
2 Li, Xuemei
2 Liu, Baifeng
2 Liu, Jie
2 Liu, Zengrong
2 Paleari, Simone
2 Penati, Tiziano
2 Roldán, Pablo
2 Schaefer, Rodrigo G.
2 Simó, Carles
2 Su, Xifeng
2 Sun, Yisui
2 Turaev, Dmitry V.
2 Wang, Kaizhi
2 Wang, Zhiguo
2 Wei, Baoshe
2 Wiggins, Stephen R.
2 Yu, Yifeng
2 Zhang, Ke
2 Zhu, Chunpeng
2 Zhu, Wenzhuang
1 Akingbade, Samuel W.
1 Alvarez, María Jesus
1 Ault, Jesse T.
1 Balasuriya, Sanjeeva
1 Bambusi, Dario
1 Barata, João C. A.
1 Barrientos, Pablo G.
1 Bartuccelli, Michele V.
1 Berti, Massimiliano
1 Bi, Qiaoyan
1 Biasco, Luca
1 Bizyaev, Ivan Alekseevich
1 Broer, Henk W.
1 Calleja, Renato C.
1 Cannarsa, Piermarco
1 Cao, Rongmei
1 Capinski, Maciej J.
1 Cartwright, Julyan H. E.
1 Celletti, Alessandra
...and 134 more Authors
all top 5

Cited in 75 Serials

18 Journal of Differential Equations
12 Discrete and Continuous Dynamical Systems
11 Journal of Mathematical Analysis and Applications
10 Physica D
10 Regular and Chaotic Dynamics
8 Communications in Mathematical Physics
7 Journal of Mathematical Physics
7 Nonlinearity
7 Proceedings of the American Mathematical Society
6 Advances in Mathematics
6 Ergodic Theory and Dynamical Systems
6 Journal of Dynamics and Differential Equations
6 Chaos
5 Journal of Fluid Mechanics
5 Journal of Nonlinear Science
5 Acta Mathematica Sinica. English Series
5 Qualitative Theory of Dynamical Systems
5 Science China. Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
4 SIAM Journal on Applied Dynamical Systems
3 Archive for Rational Mechanics and Analysis
3 Mathematische Zeitschrift
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Chinese Science Bulletin
3 Annales Henri Poincaré
3 Proceedings of the Steklov Institute of Mathematics
2 Journal of Statistical Physics
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Science in China. Series A
2 Bulletin of the American Mathematical Society. New Series
2 Calculus of Variations and Partial Differential Equations
2 Physics of Fluids
2 Journal of the European Mathematical Society (JEMS)
1 International Journal of Modern Physics B
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Pacific Journal of Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Journal of the Ramanujan Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Celestial Mechanics and Dynamical Astronomy
1 Experimental Mathematics
1 Russian Journal of Mathematical Physics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Doklady Mathematics
1 Journal of Inequalities and Applications
1 Journal of Dynamical and Control Systems
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Sādhanā
1 Communications on Pure and Applied Analysis
1 Fixed Point Theory and Applications
1 Oberwolfach Reports
1 Frontiers of Mathematics in China
1 Journal of Modern Dynamics
1 Journal of Function Spaces
1 Journal de l’École Polytechnique – Mathématiques
1 Mathematics in Engineering
1 Electronic Research Archive

Citations by Year

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