Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-01

Journal: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 26

Issue: 1

Page Number: 21-56

ISSN: 1040-7294

Key Words: Complex Ginzburg-Landau equation; Invariant tori; Quasi-periodic solution; Degenerate infinite-dimensional KAM theory; Normal form technique

Abstract: In this paper, we consider complex Ginzburg-Landau equation in one space dimension and rigorously show the existence of 3-dimensional tori. The proof is based on degenerate infinite-dimensional KAM theory and normal form technique.