Hidden electrical activity of two neurons connected with an asymmetric electric coupling subject to electromagnetic induction: Coexistence of patterns and its analog implementation

Zeric Tabekoueng Njitacke, Isaac Sami Doubla, Sandrine Mabekou and Jacques Kengne

Chaos, Solitons & Fractals, 2020, vol. 137, issue C

Abstract: In this paper, the effects of a threshold electromagnetic induction, as well as an asymmetry in the electrical synaptic coupling between two neuronal oscillators, are studied through a 2D Hindmarsh-Rose model. We have found that the introduced model has no-equilibrium point and thus, displays hidden dynamics. We equally demonstrate that the electromagnetic induction strength combined with an asymmetric electrical coupling and external stimulus induces the coexistence of bifurcations and multiple firing patterns in the coupled neural oscillators. The coexistence of at least two firing patterns including chaotic and periodic ones for some discrete values of the electromagnetic induction strength, coupling strengths, and external stimulus is demonstrated using time series, phase portraits, bifurcation diagrams, graph of maximum Lyapunov exponent, and basins of attraction. The PSpice results with analog electronic circuits are in good agreement with the results of theoretical analyses. To the best of the author's knowledge, the results of this work represent the first report on the phenomenon of coexistence of multiple firing patterns in a coupled 2D Hindmarsh-Rose model under threshold electromagnetic induction effect thus, deserve dissemination.

Keywords: Neuron model; Threshold electromagnetic induction; Asymmetric electrical coupling; Coexistence of multiple firing patterns; Pspice simulations results (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920301879

DOI: 10.1016/j.chaos.2020.109785

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