Bifurcating vortex solutions of the complex Ginzburg-Landau equation

被引：0
|
作者：
Kaper, HG
Takác, P
机构：
[1] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA
[2] Univ Rostock, Fachbereich Math, D-18055 Rostock, Germany
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 1999年 / 5卷 / 04期
关键词：
complex Ginsburg-Landau equation; bifurcation; vortex solutions; determining nodes;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2 pi-periodic vortex solutions that have 2n simple zeros ("vortices") per period. The vortex solutions bifurcate from the trivial solution and inherit their zeros from the solution of the linearized equation. This result rules out the possibility that the vortices are determining nodes for vortex solutions of the CGL equation.
引用
收藏
页码：871 / 880
页数：10
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