Dynamic bifurcation of the n-dimensional complex Swift-Hohenberg equation

被引：0
作者：
肖庆坤 [1 ]
高洪俊 [1 ]
机构：
[1] Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University
来源：
Applied Mathematics and Mechanics(English Edition) | 2010年 / 31卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Swift-Hohenberg equation; bifurcation; stability; center manifold;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
This paper is concerned with the bifurcation of a complex Swift-Hohenberg equation. The attractor bifurcation of the complex Swift-Hohenberg equation on a one- dimensional domain (0, L) is investigated. It is shown that the n-dimensional complex Swift-Hohenberg equation bifurcates from the trivial solution to an attractor under the Dirichlet boundary condition on a general domain and under a periodic boundary condi- tion when the bifurcation parameter crosses some critical values. The stability property of the bifurcation attractor is analyzed.
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页码：739 / 750
页数：12
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