A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems

被引：61

作者：

You, JG ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 192卷 / 01期

关键词：

D O I：

10.1007/s002200050294

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A KAM theorem for degenerate lower dimensional tori in nearly integrable Hamiltonian systems is given in this paper. For the non-degenerate cases, both hyperbolic and elliptic, the KAM theorem has been well established by many authors ([8, 9, 11, 13, 14, 17]).

引用

页码：145 / 168

页数：24

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