https://doi.org/10.1140/epjp/s13360-023-03887-5
Regular Article
Modes of electrical activities and energy of Hindmarsh–Rose model coupled by memristive synapses
1
Faculty of Science, Department of Physics, Laboratory of Biophysics, University of Yaounde 1, P.O. Box 812, Yaoundé, Cameroon
2
Higher Technical Teacher’s Training, Department of Maintenance, University of Ebolowa, P.O. Box 886, Ebolowa, Cameroon
3
African Center for Advanced Studies, P.O. Box 4477, Yaoundé, Cameroon
Received:
4
February
2023
Accepted:
9
March
2023
Published online:
23
March
2023
Few years ago, the 2D Hindmarsh–Rose model has been modified to obtain a 3D Hindmarsh–Rose model by considering the effect of electromagnetic induction. However, recently it has been discovered that with the 2D Hindmarsh–Rose model, we can couple two neurons by considering a magnetic induction field brought by the memristor. That memristor creates an induced current which flows in the neuronal network. We could add to that induced current an external current. In this work we study the modes of electrical activities and the Hamiltonian energy of Hindmarsh–Rose model coupled by Memristive electromagnetic where an additive current is added to the neuronal network. Results showed that the neuronal network exhibits fast spiking behavior which becomes more faster when there is an increase in the value of the external current. Furthermore, we observed that the neuronal network needs more energy to fire when the external current is added.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
