Display Abstract

Title Periodic patterns in singularly perturbed reaction-diffusion systems

Name Frits Veerman
Country England
Email veerman@maths.ox.ac.uk
Co-Author(s) Arjen Doelman, Bj{\"o}rn de Rijk
Submit Time 2014-02-28 10:52:14
Session
Special Session 64: Traveling waves and patterns
Contents
We prove the existence of periodic solutions in a very general class of singularly perturbed reaction-diffusion systems using geometric singular perturbation theory. The construction method, which allows for a large variety of periodic solutions, is applied to an example system. The linear stability of the constructed solutions is assessed, both in the general and applied context. A rich bifurcation structure emerges; also, the homoclinic limit will be addressed.