Abstract:
Electromagnetic induction plays a key role in regulating the electrical activity, excitability and bi-stable structure of neurons. In this paper, based on the HR neuron model (EMFN model) under the influence of electromagnetic field, a discontinuous control strategy with the threshold ofmembrane potential is introduced to realize the regulating effect of electromagnetic field on neuron system, and thus the Filippov EMFN neuron model is established. Firstly, the existence and stability of equilibrium points of two subsystems are analyzed by using Matcont software. Secondly, the bi-stable region and its internal mechanism are discussed in detail by means of two-parameter bifurcation analysis. Finally, a series of complex sliding mode dynamics, including sliding segmentsand sliding bifurcations, and the mechanism of multi-stability, are further explored with the help of fast-slow variable dissection method of dynamics analysis. The simulation results show that the EMFN model can produce the corresponding sliding limit cycle and sliding bursting under the influence of thethreshold control strategy. The results provide ideas for controlling the effects of electromagnetic field on biological nervous system and exploring the regulation mechanism of neurological diseases.