Degenerate lower dimensional tori in reversible systems

被引：22

作者：

Wang, Xiaocai ^{[1
]}

Xu, Junxiang ^{[2
]}

Zhang, Dongfeng ^{[2
]}

机构：

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Reversible systems; KAM iteration; Degenerate lower dimensional tori; HAMILTONIAN-SYSTEMS; INVARIANT TORI; KAM THEORY; PERSISTENCE; STABILITY;

D O I：

10.1016/j.jmaa.2011.09.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the persistence of lower dimensional invariant tori with prescribed frequencies and singular normal matrices in reversible systems. The normal variable is two-dimensional and the unperturbed nonlinear terms in the differential equation for this variable have a special structure. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：776 / 790

页数：15

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