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 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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Communicated by Li-qun CHEN
Project supported by the National Natural Science Foundation of China (No. 10871097) and the Innovation Project for Graduate Education of Jiangsu Province (No. CX09B-296Z)
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Xiao, Qk., Gao, Hj. Dynamic bifurcation of the n-dimensional complex Swift-Hohenberg equation. Appl. Math. Mech.-Engl. Ed. 31, 739–750 (2010). https://doi.org/10.1007/s10483-010-1308-6
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DOI: https://doi.org/10.1007/s10483-010-1308-6