A GLOBALITY OF A HOPF BIFURCATION IN A FREE BOUNDARY PROBLEM

  • Published : 1997.05.01

Abstract

A globality of the Hopf bifurcation in a free boundary problem for a parabolic partial differential equation is investigated in this paper. We shall examine the global behavior of the Hopf critical eigenvalues and and apply the center-index theory to show the globality.

Keywords

References

  1. Arch. Rational Mech. Anal. Global Hopf Bifurcation of TwoParameter B. Fiedler
  2. J. Differential Equations v.43 Snakes: Oriented Families of Periodic Orbits, Their Sources, Sinks, and Continuation J. Mallet-Paret;J. Yorke
  3. J. of Comput. Appl. Math. v.52 A Hopf bifurcation in a parabolic free boundary problem Y. M. Lee;R. Thompson;R. Schaaf