新忆阻神经元混沌系统的混沌控制  

Chaos control of novel memristive neuron chaotic system

作　　者：白明明 贾美美 徐赫阳 李冰 BAI Mingming;JIA Meimei;XU Heyang;LI Bing(College of Electric Power,Inner Mongolia University of Technology,Hohhot 010080,China;Key Laboratory of Electromechanical Control in Inner Mongolia Autonomous Region,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学电力学院,呼和浩特010080 [2]内蒙古自治区机电控制重点实验室,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2023年第1期58-64,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古自治区直属高校基本科研业务费项目(JY20220181)。

摘　　要：将三次非线性磁控忆阻器引入Hindmarsh-Rose神经元模型,建立新忆阻神经元混沌系统,分析新忆阻神经元混沌系统的非线性动力学行为,结果表明,在一定参数条件下,新忆阻神经元混沌系统处于混沌状态。设计线性控制器实现新忆阻神经元混沌系统的混沌控制,其线性控制器由两部分组成,第一部分用于补偿新忆阻神经元混沌系统的平衡点,第二部分用于控制补偿平衡点后的新忆阻神经元混沌系统,结果表明,该线性控制器能够将处于混沌状态的新忆阻神经元混沌系统控制到平衡点。The cubic nonlinear magnetic memristor is introduced into the Hindmarsh Rose neuron model to obtain a novel memristive neuron chaotic system and the nonlinear dynamic behaviors of the novel memristive neuron chaotic system are analyzed.The results show that the novel memristive neuron chaotic system is in a chaotic state under certain parameters.The linear controller is designed to realize the chaotic control of the novel memristive neuron chaotic system.The linear controller consists of two parts.The first part is used to compensate for the equilibrium point of the novel memristive neuron chaotic system second part is used to control the novel memristive neuron chaotic system after compensation for the equilibrium point.The results show that the linear controller can control the novel memristive neuron chaotic system in the chaotic state to the equilibrium point.

关 键 词：三次非线性磁控忆阻器 Hindmarsh-Rose神经元 线性控制器 非线性动力学行为分析 

分 类 号：O415.5[理学—理论物理]