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arxiv: 0906.2671 · v1 · submitted 2009-06-15 · 💻 cs.DS

Oscillations and Random Perturbations of a FitzHugh-Nagumo System

classification 💻 cs.DS
keywords oscillationssystemfitzhugh-nagumoparametersallowappearancebifurcationcomponent
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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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