[1]武花干,叶 亿,陈 墨,等.基于忆阻的低通滤波振荡器准周期与混沌环面振荡研[J].常州大学学报(自然科学版),2019,31(06):88-93.
　WU Huagan,YE Yi,CHEN Mo,et al.Quasi-Periodic and Chaotic-Torus Oscillating Phenomena in Memristor-Based Low-Pass Filter Oscillator[J].Journal of Changzhou University(Natural Science Edition),2019,31(06):88-93.
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基于忆阻的低通滤波振荡器准周期与混沌环面振荡研()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
第31卷
期数:
2019年06期
页码:
88-93
栏目:
信息科学与工程
出版日期:
2019-11-28

文章信息/Info

Title:
Quasi-Periodic and Chaotic-Torus Oscillating Phenomena in Memristor-Based Low-Pass Filter Oscillator
文章编号:
2095-0411(2019)06-0088-06
作者:
武花干; 叶 亿; 陈 墨; 包伯成
(常州大学 信息科学与工程学院, 江苏 常州 213164)
Author(s):
WU Huagan;  YE Yi;  CHEN Mo;  BAO Bocheng
(School of Information Science and Engneering, Changzhou University, Changzhou 213164, China)
关键词:
忆阻;  忆阻振荡器;  混沌环面;  硬件实验
Keywords:
memristor;  memristive oscillator;  chaotic-torus;  hardware experiment
分类号:
O 41
文献标志码:
A
摘要:
准周期与混沌环面振荡行为是一类具有2个零李雅普诺夫指数的特殊非线性现象,这类现象很少同时发生在非线性振荡器中。论文提出了一种基于忆阻的低通滤波振荡器,它是通过将二阶二极管桥忆阻模拟器直接耦合到Sallen-Key低通滤波器上实现的。建立了四阶忆阻振荡电路的数学模型,采用常规动力学分析方法与0-1测试,开展了以电感参数为可变量的动力学行为的数值仿真。随着电感参数的变化,该电路可呈现出准周期振荡与混沌环面振荡等复杂动力学行为。基于分立元器件制作了硬件电路,实验测试结果很好地验证了数值仿真结果。
Abstract:
Quasi-periodic and chaotic-torus oscillating behaviors are special nonlinear phenomena with two zero Lyapunov exponents, which have been rarely both found in a nonlinear oscillator. By directly coupling a second-order diode bridge memristive emulator to a Sallen-Key low-pass filter, a novel memristor-based low-pass filter oscillator is proposed. The mathematical model of the fourth-order memristive oscillating circuit is built. Using the conventional dynamic analysis method and 0-1 test, the numerical simulations of the dynamical behaviors are performed when the inductance is selected as a variable. With the inductance varying, the circuit exhibits complex dynamical behaviors, such as quasi-periodic oscillation, chaotic-torus oscillation, and so on. The hardware circuit is fabricated based on some discrete components, and the experimental results well verify the numerical simulation results.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2019-05-08。
基金项目:国家自然科学基金资助项目(51607013)。
作者简介:武花干(1987—),女,江苏泰州人,博士,讲师。通信联系人:包伯成(1965—),E-mail:mervinbao@126.com
更新日期/Last Update: 2019-12-02