[1]李 闯,闵富红,吕晏旻.有源荷控忆阻系统的多稳态分析及电路实现[J].南京师范大学学报(工程技术版),2019,19(01):019.[doi:10.3969/j.issn.1672-1292.2019.01.003]
 Li Chuang,Min Fuhong,Lü Yanmin.Multi-Stability Analysis of an Active Charge-ControlledMemristive System and Circuit Implementation[J].Journal of Nanjing Normal University(Engineering and Technology),2019,19(01):019.[doi:10.3969/j.issn.1672-1292.2019.01.003]
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有源荷控忆阻系统的多稳态分析及电路实现
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
19卷
期数:
2019年01期
页码:
019
栏目:
电气与自动化工程
出版日期:
2019-03-30

文章信息/Info

Title:
Multi-Stability Analysis of an Active Charge-ControlledMemristive System and Circuit Implementation
文章编号:
1672-1292(2019)01-0019-10
作者:
李 闯闵富红吕晏旻
南京师范大学南瑞电气与自动化学院,江苏 南京 210023
Author(s):
Li ChuangMin FuhongLü Yanmin
School of NARI Electrical and Automation,Nanjing Normal University,Nanjing 210023,China
关键词:
有源荷控忆阻蔡氏电路忆阻系统多稳态共存
Keywords:
active charge-controlled memristorChua’s circuitmemristive chaotic systemmulti-stable coexistence
分类号:
TP271
DOI:
10.3969/j.issn.1672-1292.2019.01.003
文献标志码:
A
摘要:
采用有源荷控忆阻替换蔡氏电路中的非线性电阻,实现一个五维忆阻非线性电路系统. 建立了该系统的无量纲方程,分析了系统的平衡点集与稳定性. 利用分岔图、Lyapunov指数谱和相轨迹图等分析方法,从多角度研究了随系统参数与初始状态变化而产生的多稳态动力学行为. 研究表明,当系统参数、初始状态变化时,都会出现不同拓扑结构的混沌吸引子共存、不同吸引域的多周期极限环共存、不同周期数的极限环与不同拓扑结构的混沌吸引子等共存行为. 最后,设计了五维忆阻混沌系统的模拟电路模型,电路仿真实验与数值仿真结果相一致,观测到不同的多稳态共存运动. 这表明动力学分析的正确性和系统的物理可实现性,为进一步拓展系统加密应用奠定基础.
Abstract:
In the paper,a new type of five-dimensional memristive chaotic system is easily implemented by replacing a nonlinear resistance in the Chua’s circuit with an active charge-controlled memristor. Firstly,the stable equilibrium and unstable equilibrium point sets of the system are analyzed theoretically by establishing the dimensionless equation. Next,through Lyapunov index spectrum,bifurcation diagram and phase track diagram,the coexistence phenomena of the system with respect to the changes and initial condition is studied. When different initial conditions are used,the system displays the coexistent phenomenon of chaotic attractors with different topological structures or several limit cycles with different attraction domains,as well as the phenomenon of multiple attractors of several periodic limit cycle and chaotic attractors with multiple topological structures. Finally,based on multisim circuit simulation model,the simulation results are consistent with the numerical simulations and relevant theoretical analysis. These show the correctness of dynamic analysis and the physical realizability of the system,and lay a foundation for expanding the application in encryption.

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 Ma Meiling,Min Fuhong,Shao Shuyi,et al.Circuit Implementation of Nonlinear Feedback Synchronization for Chua’s System[J].Journal of Nanjing Normal University(Engineering and Technology),2013,13(01):001.

备注/Memo

备注/Memo:
收稿日期:2018-06-30.
基金项目:国家自然科学基金(61871230)、江苏省研究生科研与实践创新计划项目(KYCX18_1220).
通讯联系人:闵富红,博士,教授,研究方向:非线性电路与系统. E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2019-03-30