成德武,
谭其威
湘潭大学物理与光电工程学院 湘潭 411105
基金项目:国家自然科学基金(61471310)
详细信息
作者简介:曾以成：男，1962年生，教授，博士生导师，主要研究方向为非线性电路、混沌信号处理、语音信号处理
成德武：男，1994年生，硕士生，研究方向为非线性系统、混沌信号处理
谭其威：女，1993年生，硕士，研究方向为非线性系统、混沌信号处理
通讯作者:曾以成 yichengz@xtu.edu.cn
中图分类号:TN601计量
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被引次数:0
出版历程
收稿日期:2019-11-01
修回日期:2019-11-26
网络出版日期:2019-12-20
刊出日期:2020-06-04
A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics
Yicheng ZENG,,Dewu CHENG,
Qiwei TAN
School of Physics and Photoelectric Engineering, Xiangtan University, Xiangtan, 411105, China
Funds:The National Natural Science Foundation of China (61471310)
摘要
摘要:采用非理想有源电压控制忆阻器和磁通控制型光滑3次非线性忆阻器，该文设计了一种不含电感的简单(只含5个电子元器件)双忆阻混沌电路。采用常规的非线性分析手段详细研究了电路参数变化时系统的基本动力学行为，例如平衡点稳定性分析，相轨图以及李雅普诺夫指数谱和分岔图等。通过调节系统控制参数，该系统可产生多涡卷、多翼以及暂态混沌等十分丰富的动力学现象。此外，还研究了系统依赖于忆阻器初始状态的多稳态，得到了一些有意义的结果。为验证电路的可行性及稳定性，通过对忆阻器的模拟等效电路的搭建，并将该等效电路应用于所提出的混沌电路中，硬件电路实验结果以及Multisim电路仿真结果与理论分析一致。
关键词:忆阻器/
混沌电路/
多稳态/
暂态混沌
Abstract:A simple two-memristor chaotic circuit without inductance (only five electronic components) is designed by using a non-ideal active voltage control memristor and a flux-controlled smooth cubic nonlinear memristor. When the circuit parameters change, the basic dynamic behaviors of the system are studied in detail by the means of conventional nonlinear analysis, such as the analysis of equilibrium stability, phase diagram, Lyapunov exponent spectrum and bifurcation diagram. With the parameters changing, the proposed system can produce various phenomena of dynamics such as multi-scrolls, multi-wings and transient transition behaviors. Furthermore, the multistability characteristics of the system are also studied in the condition of changing the initial state of two memristors in system respectively, and some meaningful results are obtained. In order to verify the feasibility and stability of the circuit, the analog equivalent circuit of each memristor is constructed, and it is applied to the proposed chaotic circuit. The experimental results of the hardware circuit and the circuit simulation results of the Multisim are in good agreement with the theoretical analysis.
Key words:Memristor/
Chaotic circuit/
Multistability/
Transient transition behaviors
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