Dynamics of Neuronal Waves

Linghai Zhang
Department of Mathematics, Lehigh University

(October 17, 2006 3:30 PM - 4:30 PM)

Dynamics of Neuronal Waves

Abstract

I will talk about basic neurobiology needed to set up the model equations. Then I will provide sufficient conditions to guarantee the existence and stability of traveling waves (both homoclinic orbits and heteroclinic orbits) for each equation or each system. In particular, I will provide speed analysis (estimates, limits, etc), speed index function and stability index function and their relationship.