河北师范大学学报—

期刊信息

刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
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eHR神经元模型分岔分析与隐藏放电控制

张薇¹

安新磊¹

乔帅¹

王红梅¹

杨天宇²

1. 兰州交通大学数理学院, 甘肃兰州 730070;
2. 北京交通大学电子工程学院, 北京 100044
DOI： 10.13763/j.cnki.jhebnu.nse.2020.02.005

Analysis on Bifurcation and Hidden Discharge Control of eHR Neuron Model

ZHANG Wei¹, AN Xinlei¹, QIAO Shuai¹, WANG Hongmei¹, YANG Tianyu²

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摘要/Abstract

摘要：

以eHR模型为研究对象，利用非线性动力学理论及数值仿真方法对eHR模型的动力学特性进行了研究，并对eHR模型施加Washout滤波器以实现对该模型的隐藏放电控制.通过理论分析得出，eHR模型存在亚临界Hopf分岔点，并且在Hopf分岔点附近存在隐藏吸引子.对系统施加Washout滤波器使得系统的亚临界Hopf分岔转化为超临界Hopf分岔，由此可以消除系统的隐藏放电行为，进一步控制神经元系统的稳定区域.

Abstract：

The hidden firing behavior of neurons for the modulation of neurons in the brain were studied.Taking eHR model as the research object,the dynamic characteristics of eHR model are analyzed by using nonlinear dynamics theory and numerical simulation method.By applying Washout filter to eHR model,the hidden discharge control is realized.Theoretical analysis show that the eHR model has subcritical Hopf bifurcation point,and there are hidden attractors near Hopf bifurcation point.By applying Washout filter to the system,the subcritical Hopf bifurcation point of the system is converted to supercritical Hopf bifurcation point,and thus the hidden discharge behavior of the system is eliminated and the stable region of neural system is controlled.

关键词

关键词： eHR神经元 ; Hopf分岔分析 ; 隐藏吸引子 ; Washout滤波器

Key words： eHR neuron ; Hopf bifurcation analysis ; hidden attractor ; Washout filter

参考文献 14

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