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论文类型：期刊论文

发表时间：2011-12-01

发表刊物：JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS

收录刊物：Scopus、SCIE

卷号：23

期号：4

页面范围：1053-1074

ISSN号：1040-7294

关键字：KAM theory; Quasi-periodic solution; Invariant torus; Generalized Ginzburg-Landau equation

摘要：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.