Stationary patterns in a discrete bistable reaction-diffusion system:mode analysis

被引：0

作者：

邹为 ^{[1
,2
]}

占萌 ^{[1
]}

机构：

[1] Wuhan Institute of Physics and Mathematics, the Chinese Academy of Sciences

[2] Graduate School of the Chinese Academy of Sciences

来源：

Chinese Physics B | 2010年 / 19卷 / 10期

关键词：

discrete reaction–diffusion system; stationary patterns; bistable; mode analysis;

D O I：

暂无

中图分类号：

N93 [非线性科学];

学科分类号：

07 ;

摘要：

This paper theoretically analyses and studies stationary patterns in diffusively coupled bistable elements. Since these stationary patterns consist of two types of stationary mode structure: kink and pulse, a mode analysis method is proposed to approximate the solutions of these localized basic modes and to analyse their stabilities. Using this method, it reconstructs the whole stationary patterns. The cellular mode structures (kink and pulse) in bistable media fundamentally differ from stationary patterns in monostable media showing spatial periodicity induced by a diffusive Turing bifurcation.

引用

页码：178 / 187

页数：10

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