Dynamic bifurcation of the n-dimensional complex Swift-Hohenberg equation |
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Authors: | Qing-kun Xiao Hong-jun Gao |
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Affiliation: | Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University,Nanjing 210046, P. R. China |
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Abstract: | 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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Keywords: | Swift-Hohenberg equation bifurcation stability center manifold |
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