A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings

被引：4

作者：

Lu, Xuezhu ^{[1
]}

Li, Jia ^{[1
]}

Xu, Junxiang ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Symplectic mappings; KAM iteration; Invariant tori; Non-degeneracy conditions; HYPERBOLIC INVARIANT TORI; HAMILTONIAN-SYSTEMS; MAPS; SETS;

D O I：

10.1007/s10884-015-9427-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a class of nearly integrable twist symplectic mappings with generating functions and proves the persistence of lower dimensional elliptic invariant tori under Russmann's non-degeneracy conditions.

引用

页码：131 / 154

页数：24