Asymptotic Bifurcation Solutions for Perturbed Kuramoto-Sivashinsky Equation  

作　　者：黄琼伟 唐驾时 

机构地区：[1]College of Mechanics and Aerospace,Hunan University

出　　处：《Communications in Theoretical Physics》2011年第4期685-687,共3页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.10672053

摘　　要：Stability and dynamic bifurcation in the perturbed Kuramoto-Sivashinsky （KS） equation with Dirichlet boundary condition are investigated by using central manifold reduction procedure. The result shows, as the bifurcation parameter crosses a critical value, the system undergoes a pitchfork bifurcation to produce two asymptotically stable solutions. Furthermore, when the distance from bifurcation is of comparable order ε2 （｜ε｜≤1）, the first two terms in e-expansions for the new asymptotic bifurcation solutions are derived by multiscale expansion method. Such information is useful to the bifurcation control.

关 键 词：BIFURCATION perturbed Kuramoto-Sivashinsky equation center manifold reduction method mul- tiscale expansion method 

分 类 号：O411.1[理学—理论物理]