Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-12-01

Journal: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

Included Journals: SCIE、Scopus

Volume: 23

Issue: 4

Page Number: 1053-1074

ISSN: 1040-7294

Key Words: KAM theory; Quasi-periodic solution; Invariant torus; Generalized Ginzburg-Landau equation

Abstract: In this paper, we discuss the existence of time quasi-periodic solutions for the generalized Ginzburg-Landau equation under periodic boundary conditions. By constructing a KAM theorem for dissipative systems with unbounded perturbations and multiple normal frequencies, we obtain a Cantorian branch of 2-dimensional invariant tori for the generalized Ginzburg-Landau equation.