基于忆阻器的Sprott-B超混沌系统的动力学分析与电路实现

doi:10.3969/j.issn.1007-5461.2021.03.016

量子电子学报 ›› 2021, Vol. 38 ›› Issue (3): 393-404.doi: 10.3969/j.issn.1007-5461.2021.03.016

• 量子光学 • 上一篇

基于忆阻器的Sprott-B超混沌系统的动力学分析与电路实现

李晓霞1,2∗, 王雪1,2, 冯志新1,2, 张启宇1,2

1 河北工业大学省部共建电工装备可靠性与智能化国家重点实验室, 天津300130; 2 河北工业大学河北省电磁场与电器可靠性重点实验室, 天津300130

收稿日期:2020-02-06 修回日期:2020-04-29 出版日期:2021-05-28 发布日期:2021-05-28
通讯作者: E-mail: lixiaoxia@hebut.edu.cn
作者简介:李晓霞( 1970 - ), 女, 天津人, 博士, 副教授, 硕士生导师, 主要从事复杂网络及生物电工方面的研究。 E-mail: lixiaoxia@hebut.edu.cn
基金资助:
Supported by Natural Science Foundation of Hebei Province (河北省自然科学基金, E2011202051)

Dynamics analysis and circuit realization of Sprott-B hyper-chaotic system based on memristor

LI Xiaoxia1,2∗, WANG Xue1,2, FENG Zhixin1,2, ZHANG Qiyu1,2

1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China; 2 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China

Received:2020-02-06 Revised:2020-04-29 Published:2021-05-28 Online:2021-05-28

摘要/Abstract

摘要： 将二次型磁控忆阻器引入混沌系统, 构建了一个新的四阶超混沌忆阻系统。首先探讨了忆阻系统的特性, 采用包括Lyapunov 指数和维数、耗散性、无限多平衡点集与稳定性等的分析方法, 确定了新忆阻系统的超混沌特性, 得到了无尽的平衡点集, 与原系统对比发现新系统更复杂, 混沌程度更高。进而研究了新系统的动力学行为, 观察到随系统参数不同引起的瞬态混沌现象和随初始值不同引起的吸引子共存等现象, 这是首次对包含常数项的混沌系统做出的动力学分析。最后设计并搭建了该系统的模拟电子电路, 实验表明示波器结果与数值仿真结果具有良好的一致性, 为忆阻超混沌系统的实际应用奠定了基础。

关键词: 混沌, 吸引子共存, 电路实现, 忆阻器, 瞬态混沌

Abstract: A new fourth order hyperchaotic memristor system is constructed by introducing a magnetron memristor into the chaotic system. Firstly, the characteristics of the memristor system are discussed. The hyperchaotic characteristics of the new memristor system are determined by using analysis methods including Lyapunov exponent and dimension, dissipation, infinite multiple equilibrium sets and stability, and the infinite equilibrium sets are obtained. Compared with the original system, it is found that the new system is more complex and more chaotic. Secondly, the dynamic behavior of the new system is investigated, and the transient chaos caused by different parameters and the co-existence of attractors caused by different initial values are observed. This is the first analysis of this phenomenon for a system containing constant. Finally, the simulation electronic circuit of the system is designed andbuilt. The experimental results show that the oscilloscope results are consistent with the numerical simulation results, which provides a basis for the practical application of the memristor hyperchaotic system.

Key words: chaos, attractor coexisting, circuit implementation, memristor, transient chaos

中图分类号:

O415.5

李晓霞, ∗, 王雪, 冯志新, 张启宇, . 基于忆阻器的Sprott-B超混沌系统的动力学分析与电路实现[J]. 量子电子学报, 2021, 38(3): 393-404.

LI Xiaoxia, ∗, WANG Xue, FENG Zhixin, ZHANG Qiyu, . Dynamics analysis and circuit realization of Sprott-B hyper-chaotic system based on memristor[J]. Chinese Journal of Quantum Electronics, 2021, 38(3): 393-404.

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基于忆阻器的Sprott-B超混沌系统的动力学分析与电路实现

Dynamics analysis and circuit realization of Sprott-B hyper-chaotic system based on memristor

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