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

页码：455 / 508

页数：54