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.