ANALYSIS OF THE STOCHASTIC FITZHUGH–NAGUMO SYSTEM
ANALYSIS OF THE STOCHASTIC FITZHUGH–NAGUMO SYSTEM
In this paper we study a system of stochastic differential equations with dissipative nonlinearity which arise in certain neurobiology models. Besides proving existence, uniqueness and continuous dependence on the initial datum, we shall mainly be concerned with the asymptotic behaviour of the solution. We prove the existence of an invariant …