Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems

被引：1
|
作者：
Chen, Qinbo [1 ,2 ]
Cheng, Chong-Qing [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
来源：
NONLINEARITY | 2021年 / 34卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Arnold diffusion; genericity; Gevrey functions; a priori unstable; LARGE GAP PROBLEM; INVARIANT-MANIFOLDS; GEOMETRIC MECHANISM; CONNECTING ORBITS; UNBOUNDED ENERGY; STABILITY; PERTURBATIONS; INSTABILITY; RESONANCES; DYNAMICS;
D O I：
10.1088/1361-6544/abb44f
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that under generic C(R) smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems of two and a half degrees of freedom.
引用
收藏
页码：455 / 508
页数：54
相关论文
共 42 条
12345