Standing Pulse Solutions in Reaction-Diffusion Systems with Skew-Gradient Structure

被引：28

作者：

Yanagida E. ^{[1
]}

机构：

[1] Mathematical Institute, Tohoku University

来源：

Journal of Dynamics and Differential Equations | 2002年 / 14卷 / 1期

基金：

日本学术振兴会;

关键词：

Evans function; Reaction-diffusion systems; Skew-gradient structure; Stability; Standing pulse solutions;

D O I：

10.1023/A:1012915411490

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to introduce a reaction-diffusion system with "skew-gradient" structure and discuss the stability of standing pulse solutions. In short, the skew-gradient system is a reaction-diffusion system which resembles a gradient system but has nonlinearities with different sign. We assume the existence of a standing pulse solution and define its orientation in some geometrical manner. Then we show that the stationary solution becomes unstable if time constants satisfy some inequality. The Evans function plays a crucial role for the stability analysis. © 2002 Plenum Publishing Corporation.

引用

页码：189 / 205

页数：16

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