Travelling pulses in Type-I excitable media

Excitability is a property of certain nonlinear dynamical systems with respect to
their response to external perturbations. Excitable systems can be classify in two 
classes, Type-I and Type-II, with  differentiated dynamical properties and obtained 
thought different bifurcations. Excitable  media, locally excitable spatial extended 
systems, show different regimes in which local perturbation, exceeding a threshold, 
can  propagate  across  the  medium. Many  studies have  been  carried  out  in  Type-
II  excitable  media, but much less is know about pulse propagation in the Type-I  
case. Recently, a number of vegetation systems compatible with Class-I excitability 
have shown travelling pulses, renewing interest in their study.

In this talk we will study the existence of travelling pulses in a Type-I excitable 1D 
media. We will consider a general model exhibiting Type-I excitability mediated by two 
different scenarios: a homoclinic and a SNIC bifurcations. The stability of these 
travelling pulses is associated with the excitable region of the local dynamics. 

The talk will be online at the link: https://uibuniversitat.zoom.us/j/82140582067