Chua电路的异构磁控忆阻器设计与仿真实现

doi:10.16182/j.issn1004731x.joss.17-0074

系统仿真学报 ›› 2019, Vol. 31 ›› Issue (1): 65-73.doi: 10.16182/j.issn1004731x.joss.17-0074

Chua电路的异构磁控忆阻器设计与仿真实现

张小红, 万丽娟, 龙克柳

江西理工大学信息工程学院,江西赣州 341000

收稿日期:2017-01-13 修回日期:2017-07-24 出版日期:2019-01-08 发布日期:2019-04-16
作者简介:张小红(1966-),女,河北昌黎,博士,教授,研究方向为非线性动力学,视频保密通信。
基金资助:
国家自然科学基金( 61763017, 51665019),江西省自然科学基金(20161BAB 206145), 江西省教育厅重点科技项目(GJJ150621)

Design and Simulation of Heterogeneous Magnetron Memristive Chua Circuit

Zhang Xiaohong, Wan Lijuan, Long Keliu

School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China

Received:2017-01-13 Revised:2017-07-24 Online:2019-01-08 Published:2019-04-16

摘要/Abstract

摘要： 基于三阶经典Chua电路,设计了一个含有两个异构磁控忆阻器的非线性电路,建立了其无量纲五阶数学模型。由于两个磁控忆阻器的特性方程在设计中的相异性,它们所在的位置是关于电容形成对称结构。对系统的平衡点的稳定性和李雅普诺夫指数进行分析,证明该异构磁控忆阻电路混沌特性的存在。采用Multisim电路仿真软件分别对五阶异构忆阻Chua系统模型和两个异构磁控忆阻器进行电路实现,数值计算和电路实验结果表明异构磁控忆阻Chua电路具有丰富的混沌行为,且可勾画出完全相同的混沌吸引子和类紧磁滞回归轨迹。

关键词: Chua电路, 磁控忆阻器, 电路仿真, 紧磁滞回归曲线, 混沌吸引子

Abstract: A nonlinear circuit containing two heterogeneous magnetron memristors which based on the three-order classic Chua circuit is designed, its dimensionless fifth-order mathematical model is proposed. Due to the difference in the design of the characteristic equation of the two magnetron memristors, their positions form a symmetrical structure with respect to the capacitor. The existence of chaotic properties is proved by analyzing the stability of the system equilibrium point and Lyapunov exponents. The model of five-order heterogeneous memristive Chua system and two heterogeneous magnetron memristors are implemented by Multisim. Numerical calculation and experimental results show that heterogeneous magnetron memristive Chua circuit has a wealth of chaotic behavior and can outline the same chaotic attractors and hysteresis regression curves.

Key words: Chua circuit, magnetron memristors, circuit simulation, hysteresis regression curve, chaos attractors

中图分类号:

TM13/05.45

张小红, 万丽娟, 龙克柳. Chua电路的异构磁控忆阻器设计与仿真实现[J]. 系统仿真学报, 2019, 31(1): 65-73.

Zhang Xiaohong, Wan Lijuan, Long Keliu. Design and Simulation of Heterogeneous Magnetron Memristive Chua Circuit[J]. Journal of System Simulation, 2019, 31(1): 65-73.

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Chua电路的异构磁控忆阻器设计与仿真实现

Design and Simulation of Heterogeneous Magnetron Memristive Chua Circuit

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