Dynamic bifurcation of the Ginzburg-Landau equation

被引：10

作者：

Ma, T ^{[1
]}

Park, J

Wang, SH

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2004年 / 3卷 / 04期

关键词：

Ginzburg-Landau equation; bifurcation; stability;

D O I：

10.1137/040603747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study in this article the bifurcation and stability of the solutions of the Ginzburg-Landau equation, using a notion of bifurcation called attractor bifurcation. We obtain in particular a full classification of the bifurcated attractor and the global attractor as lambda crosses the first critical value of the linear problem. Bifurcations from the rest of the eigenvalues of the linear problem are obtained as well.

引用

页码：620 / 635

页数：16

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