Attractor Bifurcation for Extended Fisher-Kolmogorov Equation | Zendy

Honglian You | Zendy; Rong Yuan | Zendy; Ziheng Zhang | Zendy

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Attractor Bifurcation for Extended Fisher-Kolmogorov Equation

Author(s) -

Honglian You,

Rong Yuan,

Ziheng Zhang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/365436

Subject(s) - mathematics , bifurcation , path (computing) , attractor , matrix (chemical analysis) , combinatorics , domain (mathematical analysis) , mathematical analysis , physics , computer science , quantum mechanics , nonlinear system , materials science , composite material , programming language

We consider the asymptotic stability and attractor bifurcation of the extended Fisher-Kolmogorov equation on the one-dimensional domain with Dirichlet or periodic boundary conditions. The novelty of this paper is that, based on a new method called attractor bifurcation, we investigate the existence of an attractor bifurcated from the trivial solution and give an explicit description of the bifurcated attractor. Moreover, the stability of the bifurcated branches is discussed

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