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

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

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.

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  • Parastesh, Fatemeh & Rajagopal, Karthikeyan & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, V.-T. & Hussain, Iqtadar, 2019. "Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 377-384.
    • Handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:377-384
    DOI: 10.1016/j.amc.2019.02.041
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    References listed on IDEAS

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    Cited by:

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