L\'evy noise-induced coherence resonance: numerical study versus experiment

TL;DR

This study explores how L{\'e}vy noise influences coherence resonance in the FitzHugh-Nagumo system, demonstrating that noise properties can enhance or suppress coherence, supported by numerical and experimental results.

Contribution

It provides a comparative analysis of numerical simulations and experiments on L{\'e}vy noise effects on coherence resonance, highlighting the role of noise parameters.

Findings

L{\'e}vy noise can enhance or suppress coherence resonance.

Optimal noise parameters maximize or minimize interspike interval deviations.

Numerical results are qualitatively confirmed by electronic circuit experiments.

Abstract

Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the L{\'e}vy noise properties on the effect of coherence resonance. In particular, we demonstrate that the L{\'e}vy 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{\'e}vy noise impact is dictated by the noise 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.