Gevrey-Smoothness of Elliptic Lower Dimensional Invariant Tori in Hamiltonian Systems

被引：0

作者：

Wang, Bingfeng ^{[1
]}

Shi, Yanling ^{[2
]}

Jiang, Shunjun ^{[3
]}

机构：

[1] Nanjing JinLing High Sch, Nanjing 210005, Jiangsu, Peoples R China

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

[3] Nanjing Tech Univ, Dept Math, Nanjing 211800, Jiangsu, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2018年 / 17卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian system; Invariant tori; Gevrey-smoothness; KAM iteration; NON-DEGENERACY CONDITION; PERSISTENCE;

D O I：

10.1007/s12346-017-0236-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies Gevrey smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems under partial Melnikov's conditions and Riissmann's nondegeneracy condition.

引用

页码：345 / 366

页数：22

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