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Switching from active to non-active states in a birhythmic conductance-based neuronal model under electromagnetic induction

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Abstract

We consider a conductance-based neuronal model under the action of electromagnetic induction on the membrane potential. We focus on the impact of the magnetic flux on the membrane potential using theoretical methods (such as the harmonic and energy balance methods) and numerical methods (such as the bifurcation diagram and Lyapunov exponent). The strength of the electromagnetic induction is considered as the control parameter. Thus, the system can switch from bistable to monostable behavior at the first critical value of the control parameter. This is done by suppressing the active mode of the neuron and maintaining subthreshold mode until it achieved a second critical value of the control parameter for a quiescent mode. Improving the conductance-based neuronal model by adding electromagnetic induction effects relates different steps in the generation of complex forms of action potential (depolarization) such as spiking, bursting, chaos; and the regulation of the system by the switching to subthreshold oscillations (repolarization) or to a stable state (quiescent state) after a brief phase of the dynamic below the quiescent state (hyperpolarization).

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Data availability

The data from simulations that support the findings of this study are available on request from the corresponding author, RY.

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Authors and Affiliations

  1. Fundamental Physics Laboratory, Physics of Complex System Group, Department of Physics, Faculty of Science, University of Douala, Box 24 157, Douala, Cameroon

    I. B. Tagne Nkounga, L. Messee Goulefack & R. Yamapi

  2. Potsdam Institute for Climate Impact Research (PIK), 14473, Potsdam, Germany

    Jürgen Kurths

  3. Department of Physics, Humboldt University, 12489, Berlin, Germany

    Jürgen Kurths

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  1. I. B. Tagne Nkounga
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  2. L. Messee Goulefack
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  3. R. Yamapi
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  4. Jürgen Kurths
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Correspondence to R. Yamapi.

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Tagne Nkounga, I.B., Goulefack, L.M., Yamapi, R. et al. Switching from active to non-active states in a birhythmic conductance-based neuronal model under electromagnetic induction. Nonlinear Dyn 111, 771–788 (2023). https://doi.org/10.1007/s11071-022-07842-4

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  • DOI: https://doi.org/10.1007/s11071-022-07842-4

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