WIAS Preprint No. 1432, (2009)

Global region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of exchange of stability


  • Butuzov, Valentin F.
  • Nefedov, Nikolai N.
  • Recke, Lutz
  • Schneider, Klaus R.

2010 Mathematics Subject Classification

  • 35B25 35B10 35K20 35K57


  • singularly perturbed reaction diffusion equation, exchange of stability, asymptotically stable periodic solution, global region of attraction




We consider a singularly perturbed parabolic differential equation in case that the degenerate equation has two intersecting roots. In a previous paper we presented conditions under which there exists an asymptotically stable periodic solution satisfying no-flux boundary conditions. In this note we characterize a set of initial functions belonging to the global region of attraction of that periodic solution.

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