Pattern selection in a reaction-diffusion equation

被引：5

作者：

Wang Ping

Hsieh Din-Yu

Tang Shaoqiang

机构：

[1] Peking University,Department of Mechanics and Engineering Science

[2] Brown University,Division of Applied Mathematics

[3] Peking University,State Key Laboratory for Turbulence Research, Department of Mechanics and Engineering Science

来源：

Acta Mechanica Sinica | 2002年 / 18卷 / 6期

关键词：

pattern; bifurcation; initial profile;

D O I：

10.1007/BF02487968

中图分类号：

学科分类号：

摘要：

This paper studies the pattern selection in a spatially-periodic problem of a simplified reaction-diffusion system described by an evolutionary Duffing equation. Numerical explorations by a pseudo-spectral method reveal the dependence of the pattern formation on the initial profile as well as the parameter. Only patterns with 2m humps are found to be meta-stable in the corresponding parameter ranges.

引用

页码：652 / 660

页数：8

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