Oscillations and Random Perturbations of a FitzHugh-Nagumo System

Catherine Doss (1) , Michèle Thieullen (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We consider a stochastic perturbation of a FitzHugh-Nagumo system. We show that it is possible to generate oscillations for values of parameters which do not allow oscillations for the deterministic system. We also study the appearance of a new equilibrium point and new bifurcation parameters due to the noisy component.

Domaines: Analyse numérique [cs.NA]

Catherine Doss, Michèle Thieullen. Oscillations and Random Perturbations of a FitzHugh-Nagumo System. 2009. ⟨hal-00395284⟩