Hopf Bifurcation in a non-homogeneous FitzHugh-Nagumo Reaction-Diffusion system; rigorous proof for the stable regime
Benjamin Ambrosio

This talk deals with the analysis of a spatial non-homogeneous 
Reaction-Diffusion (RD) system of the FitzHugh-Nagumo (FHN) type. 
After a background on the ODE version of the system, we emphasize the 
mechanisms through which the FHN RD system may generate and propagate 
oscillatory signals. Then we will provide a mathematical frame for 
the analysis in Banach Space and establish the proof of the stability 
of the stationary state for a given parameter regime