Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh–Rose and FitzHugh–Nagumo neurons with two time delays

作     者：郭展宏 李志军 王梦蛟 马铭磷 Zhan-Hong Guo;Zhi-Jun Li;Meng-Jiao Wang;Ming-Lin Ma

作者机构：School of Automation and Electronic InformationXiangtan UniversityXiangtan 41110China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2023年第32卷第3期

页      面：594-607页

核心收录：

学科分类：080903[工学-微电子学与固体电子学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 0809[工学-电子科学与技术（可授工学、理学学位）] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：the National Natural Science Foundations of China(Grant Nos.62171401 and 62071411) 

主　　题：memristor time delay heterogeneous neurons hopf bifurcation phase synchronization 

摘      要：A memristor-coupled heterogenous neural network consisting of two-dimensional(2D)FitzHugh–Nagumo(FHN)and Hindmarsh–Rose(HR)neurons with two time delays is *** the time delays as the control parameters,the existence of Hopf bifurcation near the stable equilibrium point in four cases is derived theoretically,and the validity of the Hopf bifurcation condition is verified by numerical *** results show that the two time delays can make the stable equilibrium point unstable,thus leading to periodic oscillations induced by Hopf ***,the time delays in FHN and HR neurons have different effects on the firing activity of neural *** firing patterns,such as quiescent state,chaotic spiking,and periodic spiking can be induced by the time delay in FHN neuron,while the neural network only exhibits quiescent state and periodic spiking with the change of the time delay in HR ***,phase synchronization between the heterogeneous neurons is explored,and the results show that the time delay in HR neurons has a greater effect on blocking the synchronization than the time delay in FHN ***,the theoretical analysis is verified by circuit simulations.