Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation

XIAO Qing-kun; GAO Hong-jun

doi:10.3879/j.issn.1000-0887.2010.06.008

Volume 31 Issue 6

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XIAO Qing-kun, GAO Hong-jun. Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation[J]. Applied Mathematics and Mechanics, 2010, 31(6): 710-721. doi: 10.3879/j.issn.1000-0887.2010.06.008

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Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation

doi: 10.3879/j.issn.1000-0887.2010.06.008

Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-05-10
Publish Date: 2010-06-15

Abstract

Abstract

The bifurcation of the complex Swif-tHohenberg equation was considered. A ttractor bifurcation of the complex S wift-Hohenberg equation on a one-dmiensional domain (0, L) was investigated. It's also shown that then-dmiens ionalcomplex Swift-Hohenberg equation bifurcates from the trivial solution to an attractor under the Dirichlet boundary condition on a general doma in and under the periodic boundary condition when the bifurcation parameter Kcrosses some critical value. The stability property of the bifurcation attractor is also analyzed.
- Swift-Hohen berg equation,
- bifurcation,
- stability,
- center manifold

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References(17)

References

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