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

页码：869 / 877

页数：9

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