Stochastic Fitzhugh-nagumo Equations on Networks with Impulsive Noise

In this paper we study a system of nonlinear diffusion equations on a finite network in the presence of an impulsive noise acting on the nodes of the system. We allow a rather general nonlinear drift term, including dissipative functions of FitzHugh-Nagumo type (i.e. f(u) = −u(u− 1)(u− a)) arising in various models of neurophysiology (see e.g. the monograph… (More)