物理学报2024,Vol.73Issue(13) :52-63.DOI:10.7498/aps.73.20231888

一种新型复合指数型局部有源忆阻器耦合的Hopfield神经网络

A novel compound exponential locally active memristor coupled Hopfield neural network

王梦蛟 杨琛 贺少波 李志军
物理学报2024,Vol.73Issue(13) :52-63.DOI:10.7498/aps.73.20231888

一种新型复合指数型局部有源忆阻器耦合的Hopfield神经网络

A novel compound exponential locally active memristor coupled Hopfield neural network

王梦蛟 1杨琛 2贺少波 1李志军1
扫码查看

作者信息

  • 1. 湘潭大学自动化与电子信息学院,湘潭 411105
  • 2. 湘潭大学物理与光电工程学院,湘潭 411105
  • 折叠

摘要

由忆阻耦合的神经网络模型,因其能更真实地反映生物神经系统的复杂动力学特性而被广泛研究.目前用于耦合神经网络的忆阻器数学模型主要集中在一次函数、绝对值函数、双曲正切函数等,为进一步丰富忆阻耦合神经网络模型,且考虑到一些掺杂半导体中粒子的运动规律,设计了一种新的复合指数型局部有源忆阻器,并将其作为耦合突触用于Hopfield神经网络,利用基本的动力学分析方法,研究了系统在不同参数下的动力学行为,以及在不同初始值下多种分岔模式共存的现象.实验结果表明,忆阻突触内部参数对系统具有调控作用,且该系统拥有丰富的动力学行为,包括对称吸引子共存、非对称吸引子共存、大范围的混沌状态和簇发振荡等.最后,用STM32单片机对系统进行了硬件实现.

Abstract

The neural network model coupled with memristors has been extensively studied due to its ability to more accurately represent the complex dynamic characteristics of the biological nervous system.Currently,the mathematical model of memristor used to couple neural networks mainly focuses on primary function,absolute value function,hyperbolic tangent function,etc.To further enrich the memristor-coupled neural network model and take into account the motion law of particles in some doped semiconductors,a new compound exponential local active memristor is proposed and used as a coupling synapse in the Hopfield neural network.Using the basic dynamic analysis method,the system's dynamic behaviors are studied under different parameters and the coexistence of multiple bifurcation modes under different initial values.In addition,the influence of frequency change of external stimulation current on the system is also studied.The experimental results show that the internal parameters of memristor synapses regulate the system,and the system has a rich dynamic behavior,including symmetric attractor coexistence,asymmetric attractor coexistence,large-scale chaos as shown in attached figure,and bursting oscillation.Finally,the hardware of the system is realized by the STM32 microcontroller,and the experimental results verify the realization of the system.

关键词

局部有源忆阻器/Hopfield神经网络/多种共存吸引子/簇发振荡

Key words

locally active memristor/Hopfield neural network/multiple coexisting attractor/bursting oscillation

引用本文复制引用

基金项目

国家自然科学基金(62071411)

出版年

2024
物理学报
中国物理学会,中国科学院物理研究所

物理学报

CSTPCDCSCD北大核心
影响因子:1.038
ISSN:1000-3290
参考文献量34
段落导航相关论文