Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction
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 b...
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2018/3012743 |
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doaj-4e86244c84e54a879e6da69faca135e32020-11-25T01:55:50ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/30127433012743Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic InductionYing Xu0Ya Jia1John Billy Kirunda2Jian Shen3Mengyan Ge4Lulu Lu5Qiming Pei6Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaInstitute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaInstitute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaInstitute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaInstitute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaInstitute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, ChinaSchool of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, ChinaThe 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.http://dx.doi.org/10.1155/2018/3012743 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ying Xu Ya Jia John Billy Kirunda Jian Shen Mengyan Ge Lulu Lu Qiming Pei |
spellingShingle |
Ying Xu Ya Jia John Billy Kirunda Jian Shen Mengyan Ge Lulu Lu Qiming Pei Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction Complexity |
author_facet |
Ying Xu Ya Jia John Billy Kirunda Jian Shen Mengyan Ge Lulu Lu Qiming Pei |
author_sort |
Ying Xu |
title |
Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction |
title_short |
Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction |
title_full |
Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction |
title_fullStr |
Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction |
title_full_unstemmed |
Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction |
title_sort |
dynamic behaviors in coupled neuron system with the excitatory and inhibitory autapse under electromagnetic induction |
publisher |
Hindawi-Wiley |
series |
Complexity |
issn |
1076-2787 1099-0526 |
publishDate |
2018-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2018/3012743 |
work_keys_str_mv |
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