Lévy noise-induced coherence resonance: Numerical study versus experiment

Ivan Korneev, Anna Zakharova and Vladimir V. Semenov

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: 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.

Keywords: Lévy noise; Coherence resonance; FitzHugh–Nagumo system; Numerical study; Electronic experiment (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005897

DOI: 10.1016/j.chaos.2024.115037

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