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http://dx.doi.org/10.11568/kjm.2016.24.4.637

DYNAMICAL BIFURCATION OF THE BURGERS-FISHER EQUATION  

Choi, Yuncherl (Ingenium College of Liberal Arts Kwangwoon University)
Publication Information
Korean Journal of Mathematics / v.24, no.4, 2016 , pp. 637-645 More about this Journal
Abstract
In this paper, we study dynamical Bifurcation of the Burgers-Fisher equation. We show that the equation bifurcates an invariant set ${\mathcal{A}}_n({\beta})$ as the control parameter ${\beta}$ crosses over $n^2$ with $n{\in}{\mathbb{N}}$. It turns out that ${\mathcal{A}}_n({\beta})$ is homeomorphic to $S^1$, the unit circle.
Keywords
Burgers-Fisher equation; dynamic bifurcation; center manifold;
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Times Cited By KSCI : 1  (Citation Analysis)
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