Pattern selection in a reaction-diffusion equation

被引：4
|
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
收藏
页码：652 / 660
页数：8
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