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论文类型：期刊论文

发表时间：2014-03-01

发表刊物：JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

收录刊物：SCIE、Scopus

卷号：26

期号：1

页面范围：21-56

ISSN号：1040-7294

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

摘要：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.