中文摘要：

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）上的吸引子分又进行了考虑．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．

英文摘要：

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.