Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

Fatemeh Parastesh, Karthikeyan Rajagopal, Fawaz E. Alsaadi, Tasawar Hayat, V.-T. Pham and Iqtadar Hussain

Applied Mathematics and Computation, 2019, vol. 354, issue C, 377-384

Abstract: Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.

Keywords: Spiral wave; Neuronal network; Modified HR model; External electromagnetic excitation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:354:y:2019:i:c:p:377-384

DOI: 10.1016/j.amc.2019.02.041

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