一个新的四维忆阻混沌系统的设计与分析  

Design and Analysis of a New Four-dimensional Memristor Chaotic System

作　　者：张贵重 张建强 全旭 刘嵩 ZHANG Guizhong;ZHANG Jianqiang;QUAN Xu;LIU Song(College of Intelligent Systems Science and Engineering,Hubei Minzu University,Enshi 445000,China;College of Physical Science and Technology,Central China Normal University,Wuhan 430070,China)

机构地区：[1]湖北民族大学智能科学与工程学院,湖北恩施445000 [2]华中师范大学物理科学与技术学院,武汉430070

出　　处：《湖北民族大学学报（自然科学版）》2022年第3期300-306,共7页Journal of Hubei Minzu University:Natural Science Edition

基　　金：湖北省教育厅优秀青年科技创新团队资助项目(T201611);湖北民族大学博士启动基金项目(MD2020B021)。

摘　　要：为了构建一个新的四维忆阻混沌系统,本文将非线性磁控忆阻器引入三维混沌系统.通过平衡点、分岔图、李雅普诺夫指数谱和庞加莱映射等基本动力学方法,分析了该忆阻系统参数变化对系统动力学行为的影响.分析和Matlab数值仿真结果表明,该系统具有线平衡点以及倍周期分岔、逆倍周期分岔、周期窗和准周期等丰富的动力学行为.最后在Multisim平台上设计了该混沌系统,实验仿真与数值仿真结果一致,证实了系统的正确性和可行性.In order to construct a new four-dimensional memristor chaotic system,a nonlinear magnetically controlled memristor is introduced into a three-dimensional chaotic system.The influence of parameter variation on the dynamical behavior of the memristor system is analyzed by means of basic dynamical methods such as equilibrium point,bifurcation diagram,Lyapunov exponential spectrum and Poincare mapping.The analysis and Matlab simulation results show that the system has rich dynamic behaviors such as line equilibrium point,period-doubling bifurcation,inverse period-doubling bifurcation,period-window and quasi-period-doubling bifurcation.Finally,the chaotic system is designed on Multisim platform,and the results of experimental simulation and numerical simulation are consistent,which confirms the correctness and feasibility of the system.

关 键 词：混沌 忆阻器 线平衡点 倍周期分岔 

分 类 号：O415[理学—理论物理] TN60[理学—物理]