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Indexed by:期刊论文

Date of Publication:2011-12-01

Journal:JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

Included Journals:Scopus、SCIE

Volume:23

Issue:4

Page Number:1053-1074

ISSN No.: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.