Oscillations and Random Perturbations of a FitzHugh-Nagumo System


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Abstract : 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.

Mots Clés:  FitzHugh-Nagumo system, Fast-slow system; Excitability; Equilibrium points; Bifurcation parameter; Limit cycle;Bistable system; Random perturbation; Large deviations; Metastability; Stochastic resonance