摘要
考虑复Swift-Hohenberg方程的分叉问题.首先对复Swift-Hohenberg方程在一维区域(0,L)上的吸引子分叉进行了考虑.而后给出了n维复Swift-Hohenberg方程,在一般区域上Dirichlet边界条件下和周期边界条件下,当参数λ穿过某些分叉点时从平凡解处分叉出吸引子,并对吸引子分叉的稳定性进行了分析.
The bifurcation of the complex Swift-Hohenberg equation was considered. Attractor bifurcation of the complex Swift-Hohenberg equation on a one-dimensional domain （0, L） was investigated. It＇ s also shown that the n-dimensionalcomplex Swift-Hohenberg equation bifur- cates from the trivial solution to an attractor under the Dirichlet boundary condition on a general domain and under the periodic boundary condition when the bifurcation parameter λ crosses some critical value. The stability property of the bifurcation attractor is also analyzed.
出处
《应用数学和力学》
CSCD
北大核心
2010年第6期710-721,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10871097)
江苏省研究生培养创新工程2009年度资助项目(CX09B-296Z)
