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

作　　者：王梦蛟[1] †杨琛 贺少波 李志军[1] Wang Meng-Jiao;Yang Chen;He Shao-Bo;Li Zhi-Jun(School of Automation and Electronic Information,Xiangtan University,Xiangtan 411105,China;School of Physics and Optoelectronic Engineering,Xiangtan University,Xiangtan 411105,China)

机构地区：[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

出　　处：《物理学报》2024年第13期52-63,共12页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:62071411)资助的课题。

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.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 

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]