Fitzhugh-Nagumo equations in a nonhomogeneous medium

Pages: 216 - 224, Issue Special, August 2005

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Arnold Dikansky - St. John's University, 300 Howard Av., Staten Island, NY 10301, United States (email)

Abstract: In this paper we investigate various propagation phenomena for the FitzHugh-Nagumo system (% (4) with a nonhomogeneous threshold function $a(x)$. It is studied over a range of values $b$, $d,\varepsilon $ and function $a(x).$ Numerical simulations of system show that system (\ref{fh}) exhibits different patterns of behavior and they significantly differ from those in a homogeneous medium.

Keywords:  reaction-diffusion, FitzHugh-Nagumo.
Mathematics Subject Classification:  Primary: 35K57, 37N25; Secondary: 47N20.

Received: September 2004;      Revised: February 2005;      Published: September 2005.