Dynamical behavior of memristor-coupled heterogeneous discrete neural networks with synaptic crosstalk  

作　　者：马铭磷 熊康灵 李志军 贺少波 Minglin Ma;Kangling Xiong;Zhijun Li;Shaobo He(School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China

出　　处：《Chinese Physics B》2024年第2期545-550,共6页中国物理B（英文版）

基　　金：Project supported by the Key Projects of Hunan Provincial Department of Education(Grant No.23A0133);the Natural Science Foundation of Hunan Province(Grant No.2022JJ30572);the National Natural Science Foundations of China(Grant No.62171401).

摘　　要：Synaptic crosstalk is a prevalent phenomenon among neuronal synapses,playing a crucial role in the transmission of neural signals.Therefore,considering synaptic crosstalk behavior and investigating the dynamical behavior of discrete neural networks are highly necessary.In this paper,we propose a heterogeneous discrete neural network(HDNN)consisting of a three-dimensional KTz discrete neuron and a Chialvo discrete neuron.These two neurons are coupled mutually by two discrete memristors and the synaptic crosstalk is considered.The impact of crosstalk strength on the firing behavior of the HDNN is explored through bifurcation diagrams and Lyapunov exponents.It is observed that the HDNN exhibits different coexisting attractors under varying crosstalk strengths.Furthermore,the influence of different crosstalk strengths on the synchronized firing of the HDNN is investigated,revealing a gradual attainment of phase synchronization between the two discrete neurons as the crosstalk strength decreases.

关 键 词：discrete memristor synaptic crosstalk coexisting attractor phase synchronization 

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]