Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-04-15

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 258

Issue: 8

Page Number: 2823-2846

ISSN: 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.