Dynamic bifurcation of the n-dimensional complex Swift-Hohenberg equation
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 s...
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| Veröffentlicht in: | Applied mathematics and mechanics 2010-06, Vol.31 (6), p.739-750 |
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| container_title | Applied mathematics and mechanics |
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| creator | 肖庆坤 高洪俊 |
| description | 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 condition when the bifurcation parameter crosses some critical values. The stability property of the bifurcation attractor is analyzed. |
| doi_str_mv | 10.1007/s10483-010-1308-6 |
| format | Article |
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| ispartof | Applied mathematics and mechanics, 2010-06, Vol.31 (6), p.739-750 |
| issn | 0253-4827 1573-2754 |
| language | eng |
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| source | SpringerLink Journals; Alma/SFX Local Collection |
| subjects | Applications of Mathematics Bifurcations Classical Mechanics Dynamics Fluid- and Aerodynamics Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations |
| title | Dynamic bifurcation of the n-dimensional complex Swift-Hohenberg equation |
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