Oscillations and Random Perturbations of a FitzHugh-Nagumo System

2009/06/15 by Catherine Doss, Doss, Catherine, Michèle Thieullen +1
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #Nonlinear Dynamics and Pattern Formation #cs.DS #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.0906.2671

arxiv created 2009/06/15 · openalex publication_date 2009/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Impulses and Physiological States in Theoretical Models of Nerve Membrane

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