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Synchronization in time-discrete model of two electrically coupled spike-bursting neurons

Author

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  • Courbage, M.
  • Maslennikov, O.V.
  • Nekorkin, V.I.

Abstract

Dynamics of the ensemble of two model neurons interacting through electrical synapse is investigated. Both neurons are described by two-dimensional discontinuous map. It is shown that in four-dimensional phase space a chaotic attractor of relaxation type exists corresponding to spike-bursting chaotic oscillations. A new effect of recurrent transitory chaotic oscillations underlies a dynamical mechanism of chaotic bursts formation. It is shown that, under coupling, the transient from chaotic bursts generation into rest state occurs with a time delay. A new characteristic estimating the degree of spike-bursting synchronization is introduced. Dependence of the synchronism degree on the coupling strength is shown for some coupling interval where only activity synchronization occurs. A probabilistic study provides a dynamical explanation of these phenomena.

Suggested Citation

  • Courbage, M. & Maslennikov, O.V. & Nekorkin, V.I., 2012. "Synchronization in time-discrete model of two electrically coupled spike-bursting neurons," Chaos, Solitons & Fractals, Elsevier, vol. 45(5), pages 645-659.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:5:p:645-659
    DOI: 10.1016/j.chaos.2011.12.018
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    Cited by:

    1. Zhang, Qunjiao, 2014. "Robust synchronization of FitzHugh–Nagumo network with parameter disturbances by sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 58(C), pages 22-26.

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