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

被引：4
|
作者：
Mi, Lufang [1 ]
Lu, Shouxia [2 ]
Cong, Hongzi [2 ]
机构：
[1] Binzhou Univ, Dept Math & Informat Sci, Binzhou 256600, Shandong, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2014年 / 26卷 / 01期
关键词：
Complex Ginzburg-Landau equation; Invariant tori; Quasi-periodic solution; Degenerate infinite-dimensional KAM theory; Normal form technique; QUASI-PERIODIC SOLUTIONS; LOWER-DIMENSIONAL TORI; INVARIANT TORI; PERSISTENCE; SYSTEMS; CHAOS;
D O I：
10.1007/s10884-013-9341-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：21 / 56
页数：36
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