Edit Profile (opens in new tab) Cheng, Chong-Qing Co-Author Distance Author ID: cheng.chong-qing Published as: Cheng, Chong-Qing; Cheng, Chongqing; Cheng, Chong Qing; Cheng, Congqing more...less 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 all top 5 Co-Authors 18 single-authored 8 Zhou, Min 5 Sun, Yisui 4 Cheng, Wei 4 Xue, Jinxin 4 Yan, Jun 3 Wang, Shaoli 2 Chen, Qinbo 2 Li, Xia 1 Cui, Xiaojun 1 Ji, Wenmei 1 Küpper, Tassilo 1 Qian, Sheng 1 Qin, Yan 1 Tang, Lixin 1 Wang, Lin 1 Wang, Xianpeng 1 Yang, Yang 1 Zhang, Jianlu 1 Zhang, Tian-Ling 1 Zheng, Yong 1 Zhou, Jilin all top 5 Serials 6 Journal of Differential Equations 4 Science in China. Series A 4 Science China. Mathematics 3 Journal of Differential Geometry 3 Chinese Science Bulletin 3 Celestial Mechanics and Dynamical Astronomy 2 Communications in Mathematical Physics 2 Nonlinearity 2 Applied Mathematics and Mechanics. (English Edition) 2 Cambridge Journal of Mathematics 1 International Journal of Modern Physics B 1 International Journal of Non-Linear Mechanics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Northeastern Mathematical Journal 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 The Asian Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Engineering Optimization 1 Scientia Sinica. Mathematica all top 5 Fields 45 Dynamical systems and ergodic theory (37-XX) 24 Mechanics of particles and systems (70-XX) 7 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 26 Fields 199 Dynamical systems and ergodic theory (37-XX) 102 Mechanics of particles and systems (70-XX) 38 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 9 Differential geometry (53-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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