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Effects of temporally correlated noise on coherence resonance chimeras in FitzHugh-Nagumo neurons

Author

Listed:
  • Ying Xu

    (Central China Normal University)

  • Lulu Lu

    (Central China Normal University)

  • Mengyan Ge

    (Central China Normal University)

  • Ya Jia

    (Central China Normal University)

Abstract

Chimera state in neuronal network means the coexistence of coherent and incoherent firing patterns. In this paper, the FitzHugh-Nagumo (FHN) neuronal model is employed to investigate the coherent resonance chimeras induced by temporally correlated noises. We show that the oscillation state of neuronal system is influenced by the correlation time of noise, the reduction of correlation time can result in a smaller amplitude noise sufficient to maximize the coherent resonance. However, the coherent resonance chimeras can be observed by changing both noise intensity and correlation time in the nonlocally coupled FHN neural network. By virtue of statistical synchronization factor and coherence measurement, it is found that the region of noise intensity threshold for generating coherent resonance chimeras is increased with the increasing of correlation time. The collective behavior of the system is particularly sensitive to the variation of noise intensity when correlation time is greater than 0.1. Furthermore, we demonstrate that the variation of noise intensity or correlation time can cause coherent resonance multi-chimeras in the neural network. Graphical abstract

Suggested Citation

  • 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.
  • Handle: RePEc:spr:eurphb:v:92:y:2019:i:11:d:10.1140_epjb_e2019-100413-0
    DOI: 10.1140/epjb/e2019-100413-0
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    Cited by:

    1. Hou, Zhangliang & Ma, Jun & Zhan, Xuan & Yang, Lijian & Jia, Ya, 2021. "Estimate the electrical activity in a neuron under depolarization field," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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    Keywords

    Statistical and Nonlinear Physics;

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