In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to exist in a four-dimensional phase space. It is found that the dynamical mechanism of formation of chaotic bursts is based on a new phenomenon of generation of transient chaotic oscillations. It is demonstrated that transition from the chaotic-burst generation to the state of relative rest occurs with a certain time delay. A new characteristic which estimates the degree of synchronization of the spiking-bursting oscillations is introduced. The dependence of the synchronization degree on the strength of coupling of the ensemble elements is studied.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 54, No. 1, pp. 60–80, January 2011.
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Nekorkin, V.I., Maslennikov, O.V. Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons. Radiophys Quantum El 54, 56–73 (2011). https://doi.org/10.1007/s11141-011-9271-y
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DOI: https://doi.org/10.1007/s11141-011-9271-y