Bifurcation analysis of the Kuramoto-Sivashinsky equation in one spatial dimension

被引：13

作者：

Li, CP ^{[1
]}

Chen, GR

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 09期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1142/S021812740100353X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Letter, we study the bifurcation of the Kuramoto-Sivashinsky (K-S) equation in one-spatial dimension with three kinds of boundary value conditions. Using the Liapunov-Schmidt reduction technique, the original equation is first reduced to one or two bifurcation equations, so that bifurcation analysis of the original equation can be transformed to that of the reduced-order systems, and can therefore be carried out in detail.

引用

页码：2493 / 2499

页数：7

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