Firing activities in a fractional-order Hindmarsh–Rose neuron with multistable memristor as autapse

作     者：李志军 谢文强 曾金芳 曾以成 Zhi-Jun Li;Wen-Qiang Xie;Jin-Fang Zeng;Yi-Cheng Zeng

作者机构：School of Automation and Electronic InformationXiangtan UniversityXiangtan 411105China School of Physics and OptoelectronicsXiangtan UniversityXiangtan 411105China 

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

年 卷 期：2023年第32卷第1期

页      面：227-238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：Project supported by the National Key Research and Development Program of China (Grant No.2018AAA0103300) the National Natural Science Foundation of China (Grant Nos.62171401 and 62071411) 

主　　题：fractional-order multistable neuron firing locally-active memristor 

摘      要：Considering the fact that memristors have the characteristics similar to biological synapses, a fractional-order multistable memristor is proposed in this paper. It is verified that the fractional-order memristor has multiple local active regions and multiple stable hysteresis loops, and the influence of fractional-order on its nonvolatility is also revealed. Then by considering the fractional-order memristor as an autapse of Hindmarsh–Rose(HR) neuron model, a fractional-order memristive neuron model is developed. The effects of the initial value, external excitation current, coupling strength and fractional-order on the firing behavior are discussed by time series, phase diagram, Lyapunov exponent and inter spike interval(ISI) bifurcation diagram. Three coexisting firing patterns, including irregular asymptotically periodic(A-periodic)bursting, A-periodic bursting and chaotic bursting, dependent on the memristor initial values, are observed. It is also revealed that the fractional-order can not only induce the transition of firing patterns, but also change the firing frequency of the neuron. Finally, a neuron circuit with variable fractional-order is designed to verify the numerical simulations.