Korean J. Math.  Vol 24, No 4 (2016)  pp.637-645
DOI: http://dx.doi.org/10.11568/kjm.2016.24.4.637

Dynamical Bifurcation of the Burgers-Fisher equation

Yuncherl Choi

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

Subject classification

37G35; 35B32

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References


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