磁通神经元模型的放电行为分析

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英文篇名：Analysis on Discharge Behavior of Magnetic Flux Neuron Model 作者：于欢欢 ; 张莉 ; 安新磊 ; 路正玉 ; 王文静 英文作者：YU Huanhuan;ZHANG Li;AN Xinlei;LU Zhengyu;WANG Wenjing;School of Mathematics and Physics,Lanzhou Jiaotong University;Department of the Basic Courses,Lanzhou Institute of Technology; 关键词：忆阻器 ; Hindmarsh-Rose神经元 ; Hopf分岔 ; 簇放电 ; 电磁辐射 英文关键词：memristor;;Hindmarsh-Rose neuron;;Hopf bifurcation;;bursting;;electromagnetic radiation 中文刊名：HBSZ 英文刊名：Journal of Hebei Normal University(Natural Science Edition) 机构：兰州交通大学数理学院;兰州工业学院基础学科部; 出版日期：2019-01-10 出版单位：河北师范大学学报(自然科学版) 年：2019 期：v.43;No.183 基金：甘肃省自然科学基金(17JR5RA096);; 兰州工业学院青年科技创新项目(17K-016) 语种：中文; 页：HBSZ201901007 页数：8 CN：01 ISSN：13-1061/N 分类号：43-50

摘要

神经系统由大量神经元组成,改进后的磁通神经元模型用来描述考虑电磁感应的神经元电活动的动力学行为.通过改变参数或选取适当的外加刺激电流以及电磁辐射下,检测到神经元电活动的多种放电模式.此外,对引入磁通量的神经元模型进行了动力学分析,如Hopf分岔分析;通过相图和分岔图讨论了神经元的放电行为.结果表明,该模型可呈现多种放电模式(静息态、尖锋放电、簇放电)以及不同模式之间的转换.
        The neural system consists of a large number of neurons,and the improved magnetic flux neuron model is used to describe the dynamic behavior of the electrical activity of neurons considering the electromagnetic induction.By changing the parameters or selecting the appropriate external stimulus current or under electromagnetic radiation,multiple patterns of electrical activity in the neurons are detected.In addition,the dynamic analysis of the neuron model with magnetic flux was carried out.The discharge behavior of neurons is discussed by phase diagram and bifurcation diagram.The results show that the model can present a variety of discharge modes(quiescent,spiking state,bursting state)and the transformation between different modes.

引文

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