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Indexed by:期刊论文

Date of Publication:2015-04-15

Journal:JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:258

Issue:8

Page Number:2823-2846

ISSN No.:0022-0396

Key Words:KAM tori; Normal form; Stability; p-tame property; KAM technique

Abstract: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.