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
收藏
页码：776 / 790
页数：15
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