Complex wave regimes in a network of Hindmarsh-Rose neurons

Abstract

We study numerically the spatiotemporal dynamics and complex wave regimes in a single layer network of bidirectionally and repulsively coupled two-dimensional lattices. Each node of the network presents an identical Hindmarsh-Rose neuron and coupling can have both the local and non-local character. Depending on randomly distributed initial conditions, the network can exhibit either a spiral wave regime for the case of local coupling. At the same time, when the coupling becomes non-local, the spiral wave regime transforms to spiral wave chimera. Moreover, the spiral wave chimera appears for the most part of randomly distributed initial conditions and presents the main regime in the neuronal system under study. Besides the spiral wave chimera, a target wave can also occur in the network for the same parameter range. To quantify the network behavior for a variation of parameters, we plot a regime diagram and a distribution of the root-mean-square deviation in the plane of parameter values.
The work is supported by Russian Science Foundation, project #20-12-00119

Speaker

Igor A. Shepelev
Saratov State University
Russia

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