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Fitzhugh-Nagumo equations in a nonhomogeneous medium

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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.
    Mathematics Subject Classification: Primary: 35K57, 37N25; Secondary: 47N20.


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