Oscillations and Random Perturbations of a FitzHugh-Nagumo System
Data Structures and Algorithms
2009-06-16 v1
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.
Keywords
Cite
@article{arxiv.0906.2671,
title = {Oscillations and Random Perturbations of a FitzHugh-Nagumo System},
author = {Catherine Doss and Michèle Thieullen},
journal= {arXiv preprint arXiv:0906.2671},
year = {2009}
}