Stability analysis of the Hindmarsh-Rose neuron under electromagnetic induction

L. Messee Goulefack, A. Cheage Chamgoue, C. Anteneodo, R. Yamapi

Published 2021-12-18Version 1

We consider the Hindmarsh-Rose neuron model modified by taking into account the effect of electromagnetic induction on membrane potential. We study the impact of the magnetic flux on the neuron dynamics, through the analysis of the stability of fixed points. Increasing magnetic flux reduces the number of equilibrium points and favors their stability. Therefore, electromagnetic induction tends to regularize chaotic regimes and to affect regular and quasi-regular ones by reducing the number of spikes or even destroying the oscillations.