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Existence of 3-Dimensional Tori for 1D Complex Ginzburg-Landau Equation Via a Degenerate KAM Theorem

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Indexed by:期刊论文

Date of Publication:2014-03-01

Journal:JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:26

Issue:1

Page Number:21-56

ISSN No.: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.

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