Lévy noise-induced coherence resonance: Numerical study versus experiment

被引：3

作者：

Korneev, Ivan ^{[1
]}

Zakharova, Anna ^{[2
]}

Semenov, Vladimir V. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Inst Phys, 83 Astrakhanskaya Str, Saratov 410012, Russia

[2] Humboldt Univ, Bernstein Ctr Computat Neurosci, Philippstr 13, D-10115 Berlin, Germany

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 184卷

基金：

俄罗斯科学基金会;

关键词：

L & eacute; vy noise; Coherence resonance; FitzHugh-Nagumo system; Numerical study; Electronic experiment; STOCHASTIC RESONANCE; DRIVEN; MODELS; SYSTEM;

D O I：

10.1016/j.chaos.2024.115037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the L & eacute;vy noise properties on the effect of coherence resonance. In particular, we demonstrate that the L & eacute;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 & eacute;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.

引用

页数：6

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