Fitzhugh-Nagumo equations in a nonhomogeneous medium

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2005, 2005(Special): 216-224. doi: 10.3934/proc.2005.2005.216

Fitzhugh-Nagumo equations in a nonhomogeneous medium

1.	St. John's University, 300 Howard Av., Staten Island, NY 10301, United States

Received September 2004 Revised February 2005 Published September 2005

Abstract
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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: 47N2.

Citation: Arnold Dikansky. Fitzhugh-Nagumo equations in a nonhomogeneous medium. Conference Publications, 2005, 2005 (Special) : 216-224. doi: 10.3934/proc.2005.2005.216

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