摘要
探究磁通神经元的分岔模式,对了解复杂的神经元放电活动有着重要的意义.本文基于数值仿真方法,探究了磁通HR神经元模型在双参数平面中的分岔结构,发现该系统存在伴有混沌倍周期分岔和无混沌的加周期分岔模式.运用自适应控制方法,研究了电突触耦合磁通HR神经元模型的同步控制,通过对从系统施加控制项,实现了主、从系统之间不同周期簇放电状态的同步控制.为了解磁通神经元的放电活动及其膜电压的迁移提供了有益的探讨.
Exploring the bifurcation patterns of magnetic flux neurons is of great significance to understand the firing activities of complex neurons.In this paper,based on the numerical simulation method,the bifurcation structure of the magnetic flux HR neuron model in the two-parameter plane is investigated.By using the adaptive control method,the synchronization control of the electrical synaptic coupled magnetic flux HR neuron model is studied,and the synchronization control of different periodic cluster discharge states between master and slave systems is realized by applying control terms to slave systems.Thus it provides a useful discussion for understanding the discharge activity of magnetic flux neurons and the migration of membrane potential.
作者
程万朋
乔帅
Cheng Wanpeng;Qiao Shuai(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《宁夏大学学报（自然科学版）》
CAS
2020年第4期362-367,共6页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(11962012,61863022)。
关键词
双参数分岔分析
电突触耦合
参数辨识
自适应同步
bifurcation analysis with two parameters
electrical synaptic coupling
parameter identification
adaptive synchronization
