2024/02/29 by Ivan A. Korneev, Korneev, Ivan, Anna Zakharova +3 · 2 citations
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2402.19426
openalex publication_date 2024/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the Lévy noise properties on the effect of coherence resonance. In particular, we demonstrate that the Lévy 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 Lévy 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.