忆阻器混沌电路产生的共存吸引子与Hopf分岔

doi:10.19596/j.cnki.1001-246x.7563

计算物理 ›› 2017, Vol. 34 ›› Issue (6): 747-756.DOI: 10.19596/j.cnki.1001-246x.7563

• • 上一篇

忆阻器混沌电路产生的共存吸引子与Hopf分岔

王伟¹, 曾以成¹, 陈争², 孙睿婷¹

1. 湘潭大学物理与光电工程学院, 湖南湘潭 411105;
2. 75714部队, 湖南衡阳 421900

收稿日期:2016-10-26 修回日期:2017-02-28 出版日期:2017-11-25 发布日期:2017-11-25
作者简介:王伟(1991-),男,硕士研究生,从事混沌电路及系统设计研究,E-mail:weiwangxtu@126.com
基金资助:
国家自然科学基金（61471310）资助项目

Coexisting Attractors and Hopf Bifurcation in Floating Memristors Based Chaotic Circuit

WANG Wei¹, ZENG Yicheng¹, CHEN Zheng², SUN Ruiting¹

1. School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan, Hunan 411105, China;
2. 75714 Troops, Hengyang, Hunan 421900, China

Received:2016-10-26 Revised:2017-02-28 Online:2017-11-25 Published:2017-11-25

摘要/Abstract

摘要： 利用荷控忆阻器和一个电感串联设计一种新型浮地忆阻混沌电路.用常规动力学分析方法研究该系统的基本动力学特性，发现系统可以产生一对关于原点对称的"心"型吸引子.将观察混沌吸引子时关注的电压、电流推广到功率和能量信号，观察到蝴蝶结型奇怪吸引子的产生.理论分析Hopf分岔行为并通过数值仿真进行验证，结果表明系统随电路参数变化能产生Hopf分岔、反倍周期分岔两种分岔行为.相对于其它忆阻混沌电路该电路采用的是一个浮地型忆阻器，并且在初始状态改变时，能产生共存吸引子和混沌吸引子与周期极限环共存现象.

关键词: 荷控忆阻器, 混沌电路, 动力学, Hopf分岔, 共存吸引子

Abstract: We propose a novel floating memristor chaotic circuit with serial connection between a charge-controlled memristor and an inductor.Basic dynamic properties of the system are investigated with conventional dynamic analysis method. It shows that the system produces a pair of "heart" type attractors about origin symmetry. Simulation results indicate that strange attractors like bow tie type are observed as voltage and electricity signal in observing chaotic attractors are generalized to power and energy signal. Hopf bifurcation behavior is analyzed and verified by numerical simulation. It shows that the system can produce two bifurcation behaviors by adjusting parameters. They are Hopf bifurcation and anti-period doubling bifurcation. Remarkable feature of the citcuit is that it adopts a floating memristor, and with different initial state it generates nonlinear phenomena including coexisting chaotic and coexisting chaotic-periodic attractors.

Key words: charge controlled memristor, chaotic circuit, dynamics, Hopf bifurcation, coexisting attractors

中图分类号:

O415.5
O545

王伟, 曾以成, 陈争, 孙睿婷. 忆阻器混沌电路产生的共存吸引子与Hopf分岔[J]. 计算物理, 2017, 34(6): 747-756.

WANG Wei, ZENG Yicheng, CHEN Zheng, SUN Ruiting. Coexisting Attractors and Hopf Bifurcation in Floating Memristors Based Chaotic Circuit[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(6): 747-756.

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忆阻器混沌电路产生的共存吸引子与Hopf分岔

Coexisting Attractors and Hopf Bifurcation in Floating Memristors Based Chaotic Circuit

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