Degenerate lower dimensional tori in reversible systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Wang, Xiaocai¹  Xu, Junxiang²  Zhang, Dongfeng² 

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

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

关键词: Reversible systems;    KAM iteration;    Degenerate lower dimensional tori;   

DOI  :  10.1016/j.jmaa.2011.09.030

来源: Elsevier

【 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.

【 授权许可】

Free