电磁感应下Chay神经元的放电分岔特性与同步

doi:10.6040/j.issn.1671-9352.0.2020.466

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (1): 43-51.doi: 10.6040/j.issn.1671-9352.0.2020.466

• • 上一篇

电磁感应下Chay神经元的放电分岔特性与同步

高月月¹,李新颖²^*,李宁¹

1.兰州交通大学数理学院, 甘肃兰州 730070;2.兰州交通大学电子与信息工程学院, 甘肃兰州 730070

发布日期:2021-01-05
作者简介:高月月(1995— ),女,硕士研究生,研究方向为动力系统的分岔与混沌. E-mail:978726146@qq.com*通信作者简介:李新颖(1978— ),女,硕士,副教授,研究方向为智能信息处理和动力系统的分岔与混沌. E-mail:lixinying@mail.lzjtu.cn
基金资助:
甘肃省自然科学基金资助项目(20JR5RA397);国家自然科学基金资助项目(11672121);甘肃省科技计划资助项目(18YF1WA059)

Firing bifurcation characteristics and synchronization of Chay neuron under electromagnetic induction

GAO Yue-yue¹, LI Xin-ying^2*, LI Ning¹

1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China;
2. School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China

Published:2021-01-05

摘要/Abstract

摘要： 根据法拉第电磁感应定律,细胞内外带电离子穿过细胞膜会产生电磁感应效应,在Chay神经元模型的基础上引入磁通量,建立了四维Chay神经元模型。首先,利用Matcont仿真研究系统的平衡点及稳定性,发现系统随着参数改变会发生鞍结分岔、超临界Hopf分岔以及亚临界Hopf分岔;其次,通过数值模拟探究神经元系统的发放模式;最后,通过电突触耦合,利用相关系数及同步参数等统计量,分析了耦合神经元及全局连接神经元网络的同步问题,进一步探讨了多参数对神经元同步过程的影响。

关键词: 平衡点分析, 完全同步, 相关系数, 同步参数, 双参数分析

Abstract: According to Faraday law of electromagnetic induction, charged ions inside and outside the cell through the cell membrane to produce an electromagnetic induction effect, and a four-dimensional Chay neuron model is established by introducing magnetic flux on the basis of the Chay neuron model. Firstly, the equilibrium point and stability of the system are studied by Matcont simulation, and it is found that the system undergoes saddle-node bifurcation, supercritical Hopf bifurcation and subcritical Hopf bifurcation as the parameters change; secondly, the firing mode of the neuronal system is investigated by numerical simulation; finally, the coupled neurons and global connections are analyzed by electrical synaptic coupling, using statistics such as correlation coefficient and synchronization parameter. The synchronization problem of neuronal networks is further explored by the influence of multiple parameters on the synchronization process of neurons.

Key words: equilibrium point analysis, complete synchronization, correlation coefficient, synchronization parameter, two-parameter analysis

中图分类号:

O193

高月月,李新颖,李宁. 电磁感应下Chay神经元的放电分岔特性与同步[J]. 《山东大学学报(理学版)》, 2021, 56(1): 43-51.

GAO Yue-yue, LI Xin-ying, LI Ning. Firing bifurcation characteristics and synchronization of Chay neuron under electromagnetic induction[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(1): 43-51.

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电磁感应下Chay神经元的放电分岔特性与同步

Firing bifurcation characteristics and synchronization of Chay neuron under electromagnetic induction

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