Zigzag and varicose instabilities of a localized stripe

被引：15

作者：

Hirschberg, P. ^{[1
]}

Knobloch, E. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

来源：

CHAOS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1063/1.165932

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A localized stripe solution to a reaction-diffusion equation can lose stability simultaneously to zigzag and varicose perturbations at a codimension-two point. The resulting mode interaction is described by O(2)xZ(2) equivariant amplitude equations. Stationary mixed-mode solutions are found which can undergo instabilities to breathing modes or to patterns which travel along the stripe.

引用

页码：713 / 721

页数：9

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