Long time stability of KAM tori for nonlinear wave equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:258

Article

Cong, Hongzi¹  Gao, Meina²  Liu, Jianjun³ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Shanghai Second Polytech Univ, Sch Sci, Shanghai 201209, Peoples R China

[3] Sichuan Univ, Sch Math Sci, Chengdu 610065, Peoples R China

关键词: KAM tori;    Normal form;    Stability;    p-tame property;    KAM technique;   

DOI  :  10.1016/j.jde.2014.12.025

来源: Elsevier

【 摘 要 】

It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for infinite dimensional Hamiltonian systems generated by nonlinear wave equation, by constructing a partial normal form of higher order around the KAM torus and showing that p-tame property persists under KAM iterative procedure and normal form iterative procedure. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free