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：

AppliedMathematicsandMechanics(EnglishEdition) | 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.

引用

页码：739 / 750

页数：12

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