Stability analysis of the Hindmarsh–Rose neuron under electromagnetic induction

被引：0
|
作者：
L. Messee Goulefack
A. Cheage Chamgoue
C. Anteneodo
R. Yamapi
机构：
[1] University of Douala,Fundamental Physics Laboratory, Physics of Complex Systems group, Department of Physics, Faculty of Science
[2] University of Ngaoundere,Department of Basic Science, School of Geology and Mining Engineering
[3] Pontifícia Universidade Católica do Rio de Janeiro,Departamento de Física
[4] & National Institute of Science and Technology (INCT) of Complex Systems,undefined
来源：
Nonlinear Dynamics | 2022年 / 108卷
关键词：
Hindmarsh–Rose neuron with electromagnetic induction; Linear stability analysis; Bifurcation diagrams;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：2627 / 2642
页数：15
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