Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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DYNAMICAL BIFURCATION OF THE BURGERS-FISHER EQUATION

  • Choi, Yuncherl (Ingenium College of Liberal Arts Kwangwoon University)
  • Received : 2016.11.14
  • Accepted : 2016.12.07
  • Published : 2016.12.30
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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.

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References

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