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    丛洪滋

    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:复旦大学
    • 学位:博士
    • 所在单位:数学科学学院
    • 学科:应用数学
    • 办公地点:创新园大厦B1211
    • 电子邮箱:conghongzi@dlut.edu.cn

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

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    论文类型:期刊论文

    第一作者:Mi, Lufang

    通讯作者:Cong, HZ (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China.

    合写作者:Lu, Shouxia,Cong, Hongzi

    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.