具有对称多稳定性的忆阻混沌系统及同步控制  

Memristor Chaotic System With Symmetric Multistability and Their Synchronization Control

作　　者：王奕峰 李目[1] 徐佳祺 雷佳伟 Wang Yifeng;Li Mu;Xu Jiaqi;Lei Jiawei(School of Information and Electrical Engineering,Hunan University of Science and Technology,Xiangtan 411201,Hunan,China)

机构地区：[1]湖南科技大学信息与电气工程学院,湖南湘潭411201

出　　处：《绿色科技》2024年第22期223-229,236,共8页Journal of Green Science and Technology

基　　金：国家自然科学基金(编号:61404049);湖南省自然科学基金(编号:2020JJ6031)。

摘　　要：针对高维混沌系统的构建及其同步控制,提出了一种六维忆阻混沌系统的同步控制方法。本文在四维混沌系统中引入2个忆阻器构造出六维忆阻混沌系统,研究该系统的动力学特性,发现该系统随参数和初始值的变化产生多种混沌吸引子以及周期极限环,存在对称分岔行为和对称多稳定性。设计误差系统和同步控制器,利用Matlab检验同步控制效果,结果表明实现系统同步所用时间短,同步效果好。采用FPGA对系统进行数字电路实现,通过示波器观察到图像与仿真结果一致,证明了设计的可行性。Considering the construction and synchronization control of high-dimensional chaotic systems,a synchronization control method for six dimensional memristor chaotic systems is proposed.Firstly,two memristors are introduced into a four-dimensional chaotic system to construct a six-dimensional memristor chaotic system and study the dynamic characteristics of the system.It was found that the memristor chaotic system generates various chaotic attractors and periodic limit cycles with changes in parameters and initial values.The system exhibits symmetric bifurcation behavior and symmetric multistability phenomena.Secondly,an error system and synchronization controller are designed to verify synchronization control effects with Matlab.The results show that the proposed method achieves system synchronization in a short time,and the synchronization effect is good.Finally,FPGA is used to implement the digital circuit of the system.The images observed through the oscilloscope are consistent with the simulation results,which proves the feasibility of the design.

关 键 词：忆阻混沌系统 动力学行为 多稳定性 混沌同步 

分 类 号：O415.5[理学—理论物理]