Kuramoto-Sivashinsky-和ginzburg - landau -耦合模型的分岔分析

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2013-08-12 DOI:10.1155/2013/926512

Lei Shi

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引用次数: 0

摘要

研究了具有Neumann边界条件的有界区域上Kuramoto-Sivashinsky-和ginzburg - landau型耦合方程平凡平稳解的分岔和稳定性。考虑了方程平凡解的渐近性质。以区域长度为分岔参数，用摄动法给出了非平凡解的分支。此外，还研究了这些分支的局部行为，并分析了分支解的稳定性。

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Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model

We study the bifurcation and stability of trivial stationary solution of coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-type equations (KS-GL) on a bounded domain with Neumann's boundary conditions. The asymptotic behavior of the trivial solution of the equations is considered. With the length of the domain regarded as bifurcation parameter, branches of nontrivial solutions are shown by using the perturbation method. Moreover, local behavior of these branches is studied, and the stability of the bifurcated solutions is analyzed as well.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.