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2013 Attractor Bifurcation for Extended Fisher-Kolmogorov Equation
Honglian You, Rong Yuan, Ziheng Zhang
Abstr. Appl. Anal. 2013: 1-11 (2013). DOI: 10.1155/2013/365436


We consider the asymptotic stability and attractor bifurcation of the extended Fisher-Kolmogorov equation on the one-dimensional domain ( 0 , π ) 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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Honglian You. Rong Yuan. Ziheng Zhang. "Attractor Bifurcation for Extended Fisher-Kolmogorov Equation." Abstr. Appl. Anal. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1293.35050
MathSciNet: MR3108616
Digital Object Identifier: 10.1155/2013/365436

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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