Lévy noise-induced coherence resonance in the FitzHugh-Nagumo oscillator: numerical study versus experiment

Abstract

Using a model of the FitzHugh-Nagumo oscillator in the excitable regime, we investigate the influence of the L\'evy noise's properties on the effect of coherence resonance. In particular, we demonstrate that the L\'evy noise can be a constructive or destructive factor providing for enhancement or suppression of noise-induced coherence. We show that the positive or negative role of the L\'evy noise impact is dictated by the noise's stability index and skewness parameter. The correlation time and the deviation of interspike intervals used in this analysis are shown to be maximized or minimized for an appropriate choice of the noise parameters. Numerical simulations are combined with experiments on an electronic circuit showing an excellent qualitative correspondence and proving thereby the robustness of the observed phenomena.