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

被引：0
作者：
Qing-kun Xiao
Hong-jun Gao
机构：
[1] Nanjing Normal University,Institute of Mathematics, School of Mathematical Sciences
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
Swift-Hohenberg equation; bifurcation; stability; center manifold; O175; 35Q60; 35B32; 70K50; 37L10;
D O I：
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中图分类号：
学科分类号：
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 onedimensional 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 condition 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：11
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