Bifurcations for turing instability without SO(2) symmetry

被引：0
|
作者：
Ogawa, Toshiyuki [1 ]
Okuda, Takashi [1 ]
机构：
[1] Osaka Univ, Div Math Sci, Toyonaka, Osaka 5608531, Japan
来源：
KYBERNETIKA | 2007年 / 43卷 / 06期
关键词：
perturbed boundary conditions; imperfect pitchfork bifurcation; turing instability;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the Swift-Hohenberg equation with perturbed boundary conditions. We do not a priori know the eigenfunctions for the linearized problem since the SO(2) symmetry of the problem is broken by perturbation. We show that how the neutral stability curves change and, as a result, how the bifurcation diagrams change by the perturbation of the boundary conditions.
引用
收藏
页码：869 / 877
页数：9
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