TURING PATTERNS AND WAVEFRONTS FOR REACTION-DIFFUSION SYSTEMS IN AN INFINITE CHANNEL

被引：5

作者：

Chen, Chao-Nien ^{[1
]}

Ei, Shin-Ichiro ^{[2
]}

Lin, Ya-Ping ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

[2] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 8190395, Japan

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2010年 / 70卷 / 08期

关键词：

Turing pattern; wavefront; reaction-diffusion system; FITZHUGH-NAGUMO EQUATIONS; DIRECTIONALITY;

D O I：

10.1137/090747348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with reaction-diffusion systems on an infinitely long strip in R-2. Through a pitchfork bifurcation, spatially heterogeneous patterns exist in a neighborhood of Turing instability. Motivated by the works of Kondo and Asai, we study wavefront solution heteroclinic to Turing patterns. It will be seen that the dynamics of a wavefront can be approximated by a fourth order equation of buckling type.

引用

页码：2822 / 2843

页数：22

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