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arXiv · 0906.2671

Oscillations and Random Perturbations of a FitzHugh-Nagumo System

Catherine Doss·Michèle Thieullen
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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.

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Catherine Doss, Michèle Thieullen. 2009-06-15. Oscillations and Random Perturbations of a FitzHugh-Nagumo System. https://arxiv.org/abs/0906.2671

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