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    Excitation of a Group of Two Hindmarsh – Rose Neurons with a Neuron-Generated Signal

    Received 04 August 2022; accepted 01 September 2022; published 16 September 2022


    Author(s): Garashchuk I. R., Sinelshchikov D. I.

    We study a model of three Hindmarsh – Rose neurons with directional electrical connections. We consider two fully-connected neurons that form a slave group which receives the signal from the master neuron via a directional coupling. We control the excitability of the neurons by setting the constant external currents. We study the possibility of excitation of the slave system in the stable resting state by the signal coming from the master neuron, to make it fire spikes/bursts tonically. We vary the coupling strength between the master and the slave systems as another control parameter. We calculate the borderlines of excitation by different types of signal in the control parameter space. We establish which of the resulting dynamical regimes are chaotic. We also demonstrate the possibility of excitation by a single burst or a spike in areas of control parameters, where the slave system is bistable. We calculate the borderlines of excitation by a single period of the excitatory signal.
    Keywords: chaos, neuronal excitability, Hindmarsh – Rose model
    Citation: Garashchuk I. R., Sinelshchikov D. I.,  Excitation of a Group of Two Hindmarsh – Rose Neurons with a Neuron-Generated Signal, Rus. J. Nonlin. Dyn., 2022 https://doi.org/10.20537/nd220901
    DOI:10.20537/nd220901


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