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Morse-Smale and hyperbolic type dynamics of travelling waves for discrete FitzHugh-Nagumo equation
by
Radu Orendovici
Penn State University
We consider a discrete version of the famous PDE, the FitzHugh-Nagumo equation. The local map, f(u, v) = (u + A h(u) - \alphav, v + \betau - \chiv) with A, \alpha, \beta, and \chi real parameters, plays an important role in the study of the space of traveling waves solutions of the coupled map lattice. We prove that the map f is a Morse-Smale diffeomorphism in some range of parameters and has two horseshoes in other range of parameters.
Date received: March 17, 1998
Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabf-24.