Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons |
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Authors: | V I Nekorkin O V Maslennikov |
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Institution: | 1.Institute of Applied Physics of the Russian Academy of Sciences,Nizhny Novgorod,Russia |
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Abstract: | 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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