Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction

Autor: Ying Xu, Ya Jia, John Billy Kirunda, Jian Shen, Mengyan Ge, Lulu Lu, Qiming Pei
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Complexity, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2018/3012743
Popis: The induced current produced by electromagnetic induction can adjust the membrane potential of neuron through the feedback of a magnetic flux-controlled memristor. We adopt the numerical simulation method with the aim of investigating the synchronous behavior in the neuronal system that is coupled by chemical and electrical synapses under electromagnetic induction. Within the improved model, the effects of electromagnetic induction on neurons are described with additive memristive current on the membrane variable, and the memristive current is dependent on the variation of magnetic flow. The simulation results show that the two coupling modes play an important role in the synchronization of the system. By increasing the chemical synaptic feedback gain, we observe a transition from mixed oscillatory to periodic state at a critical value. In addition, two Hopf bifurcation points are found with the change of the external stimuli, and the state of neuron discharge is influenced by initial values. Furthermore, there is a domain of coupling strength and feedback gain values, in which the two coupled neuron system is synchronized and longer time lag is not conducive to the system synchronization.
Databáze: Directory of Open Access Journals
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