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

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• 作者：M. Courbage^a ; ^b ; O.V. Maslennikov^c ; V.I. Nekorkin^c ; ^{vnekorkin@neuron.appl.sci-nnov.ru}
• 刊名：Chaos ; Solitons and Fractals
• 出版年：2012
• 期刊代码：5_09600779
• 类别：ph
• 出版时间：May, 2012
• 卷：45
• 期：5
• 页码：645-659
• 文件大小：3342 K

摘要

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.