Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor  

作　　者：马铭磷 谢小华 杨阳 李志军 孙义闯 Ming-Lin Ma;Xiao-Hua Xie;Yang Yang;Zhi-Jun Li;Yi-Chuang Sun(School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China;School of Engineering and Technology,University of Hertfordshire,Hatfield AL109AB,UK)

机构地区：[1]School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China [2]School of Engineering and Technology,University of Hertfordshire,Hatfield AL109AB,UK

出　　处：《Chinese Physics B》2023年第5期705-709,共5页中国物理B（英文版）

基　　金：the Natural Science Foundation of Hunan Province, China (Grant Nos. 2022JJ30572, 2022JJ30160, and 2021JJ30671);the National Natural Science Foundations of China (Grant No. 62171401);the Key Project of Science and Technology of Shunde District (Grant No. 2130218002544)。

摘　　要：At present, many neuron models have been proposed, which can be divided into discrete neuron models and continuous neuron models. Discrete neuron models have the advantage of faster simulation speed and the ease of understanding complex dynamic phenomena. Due to the properties of memorability, nonvolatility, and local activity, locally active discrete memristors(LADMs) are also suitable for simulating synapses. In this paper, we use an LADM to mimic synapses and establish a Rulkov neural network model. It is found that the change of coupling strength and the initial state of the LADM leads to multiple firing patterns of the neural network. In addition, considering the influence of neural network parameters and the initial state of the LADM, numerical analysis methods such as phase diagram and timing diagram are used to study the phase synchronization. As the system parameters and the initial states of the LADM change, the LADM coupled Rulkov neural network exhibits synchronization transition and synchronization coexistence.

关 键 词：locally active discrete memristor(LADM) Rulkov synchronization coexistence 

分 类 号：TN60[电子电信—电路与系统] TP183[自动化与计算机技术—控制理论与控制工程]