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Stochastic-resonance chimeras in coupled FHN neurons with α-stable Lévy noise

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  • Wang, Zhanqing
  • Yang, Wenjing
  • Zhang, Xiaoyu
  • Xu, Yong

Abstract

In this paper, we investigate the collective dynamical behaviors of a ring-network of identical FHN neurons upon the addition of α-stable Lévy noise and periodic force. We report a novel type of chimera pattern called stochastic-resonance chimera that combines the stochastic resonance and chimeras. We find that unlike coherence-resonance chimera, the stochastic-resonance chimera strongly depends on the amplitudes of periodic forcing and noise. Besides, the influences of the noise amplitude and stability parameter of α-stable Lévy noise and periodic forcing amplitude on dynamical behaviors are analyzed in detail. Stochastic-resonance chimeras are expected to have wide applications in neural networks and offer a new direction for chimera control.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:682:y:2026:i:c:s0378437125007988
    DOI: 10.1016/j.physa.2025.131146
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    References listed on IDEAS

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    1. Khatun, Taniya & Banerjee, Tanmoy, 2023. "Genesis of chimera patterns through self-induced stochastic resonance," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. 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).
    3. Ying Xu & Lulu Lu & Mengyan Ge & Ya Jia, 2019. "Effects of temporally correlated noise on coherence resonance chimeras in FitzHugh-Nagumo neurons," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(11), pages 1-10, November.
    4. 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).
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