Accumulations of T -points in a model for solitary pulses in an excitable reaction-diffusion medium

We consider a family of differential equations that describes traveling waves in a reaction diffusion equation modeling oxidation of carbon oxide on a platinum surface, near the onset of spatio-temporal chaos. The organizing bifurcation for the bifurcation structure with small carbon oxide pressures, turns out to be a codimension three bifurcation involving a homoclinic orbit to an equilibrium undergoing a transcritical bifurcation. We show how infinitely many T -point bifurcations of multi loop heteroclinic cycles occur in the unfolding. PACS: 05.45.+b; 47.20.Ky; 47.52.+j; 82.65.Jv