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System-size coherence resonance in coupled FHN neurons with α-stable Lévy noise

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  • Wang, Zhanqing
  • Gao, Yu
  • Zaikin, Alexey
  • Li, Hua
  • Xu, Yong

Abstract

In this paper, we investigate the system-size coherence resonance of a network of identical FitzHugh–Nagumo neurons driven by α-stable Lévy noise and coupled through small-world network. System-size coherence resonance is a resonance-like phenomenon that in ensembles of noise-driven dynamical systems a maximum order (the coefficient of variation of interspike intervals has a maximum) can appear at a certain system size, while the noise intensity and coupling strength remain constant. It is easy to adjust noise to achieve the maximal system order in experiments but not obvious how this adjustment takes place in nature. The study of system-size coherence resonance provides a method to improve the system order through changing the number of elements. We focus on the effects of the parameters of the small-world network (the rewiring probability and coupling range) and α-stable Lévy noise (the stability parameter and noise amplitude) on the system-size coherence resonance. Using numerical simulations, we find that the noise amplitude and the rewiring probability determine the emergence of system-size coherence resonance, and the stability parameter and the coupling range just affect the value of the coefficient of variation.

Suggested Citation

  • Wang, Zhanqing & Gao, Yu & Zaikin, Alexey & Li, Hua & Xu, Yong, 2025. "System-size coherence resonance in coupled FHN neurons with α-stable Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009981
    DOI: 10.1016/j.chaos.2025.116985
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    References listed on IDEAS

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    1. Rybalova, E. & Ryabov, A. & Muni, S. & Strelkova, G., 2024. "Lévy noise-induced coherence resonance in neural maps," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Surya G Nurzaman & Yoshio Matsumoto & Yutaka Nakamura & Kazumichi Shirai & Satoshi Koizumi & Hiroshi Ishiguro, 2011. "From Lévy to Brownian: A Computational Model Based on Biological Fluctuation," PLOS ONE, Public Library of Science, vol. 6(2), pages 1-11, February.
    3. Wang, Zhanqing & Xu, Yong & Li, Yongge & Kapitaniak, Tomasz & Kurths, Jürgen, 2021. "Chimera states in coupled Hindmarsh-Rose neurons with α-stable noise," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    4. Masoliver, Maria & Masoller, Cristina & Zakharova, Anna, 2021. "Control of coherence resonance in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    5. Gong, Yubing, 2011. "Non-Gaussian noise- and system-size-induced coherence resonance of calcium oscillations in an array of coupled cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3662-3669.
    6. Korneev, Ivan & Zakharova, Anna & Semenov, Vladimir V., 2024. "Lévy noise-induced coherence resonance: Numerical study versus experiment," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
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    1. Wang, Zhanqing & Yang, Wenjing & Zhang, Xiaoyu & Xu, Yong, 2026. "Stochastic-resonance chimeras in coupled FHN neurons with α-stable Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).

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