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

Fitzhugh-Nagumo equations in a nonhomogeneous medium

Arnold Dikansky 1,

1. 

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

Received  September 2004 Revised  February 2005 Published  September 2005

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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