ARNOLD DIFFUSION IN HAMILTONIAN SYSTEMS: A PRIORI UNSTABLE CASE

被引:2
作者
Cheng, Chong-Qing [1 ]
Yan, Jun [2 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
关键词
LAGRANGIAN SYSTEMS; CONNECTING ORBITS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using variational method and under generic condition, we show that Arnold diffusion exists in a priori hyperbolic and time-periodic Hamiltonian systems with multiple degrees of freedom.
引用
收藏
页码:229 / 277
页数:49
相关论文
共 21 条
[1]  
[Anonymous], 1977, LECT NOTES MATH
[2]  
Arnol'd V. I., 1988, ENCY MATH SCI, V3
[3]  
Arnold V. I., 1964, Sov. Math. Doklady, V5, P581
[4]  
Arnold V. I., 1963, Russian Mathematical Surveys, V18, P85, DOI [10.1070/RM1963v018n06ABEH001143, DOI 10.1070/RM1963V018N06ABEH001143]
[5]   Connecting orbits of time dependent Lagrangian systems [J].
Bernard, P .
ANNALES DE L INSTITUT FOURIER, 2002, 52 (05) :1533-+
[6]   Homoclinic orbits to invariant sets of quasi-integrable exact maps [J].
Bernard, P .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2000, 20 :1583-1601
[7]   A generic property of families of Lagrangian systems [J].
Bernard, Patrick ;
Contreras, Gonzalo .
ANNALS OF MATHEMATICS, 2008, 167 (03) :1099-1108
[8]   The dynamics of pseudographs in convex Hamiltonian systems [J].
Bernard, Patrick .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 21 (03) :615-669
[9]  
Cheng CQ, 2004, J DIFFER GEOM, V67, P457
[10]   Connecting orbits between static classes for generic Lagrangian systems [J].
Contreras, G ;
Paternain, GP .
TOPOLOGY, 2002, 41 (04) :645-666