忆阻高通滤波电路准周期与混沌环面簇发振荡及慢通道效应

李芳苑; 陈墨; 武花干

doi:10.11999/JEIT190317

引用本文: 李芳苑, 陈墨, 武花干. 忆阻高通滤波电路准周期与混沌环面簇发振荡及慢通道效应[J]. 电子与信息学报, doi: 10.11999/JEIT190317 shu

Citation: Fangyuan LI, Mo CHEN, Huagan WU. Quasi-periodic, Chaotic-torus Bursting Oscillations and SlowPassage Effect in Memristive High-pass Filter Circuit[J]. Journal of Electronics and Information Technology, doi: 10.11999/JEIT190317 shu

忆阻高通滤波电路准周期与混沌环面簇发振荡及慢通道效应

1.
南京信息职业技术学院电子信息学院南京 210023
2.
常州大学信息科学与工程学院常州 213164

作者简介: 李芳苑: 女，1988年生，讲师，硕士生，研究方向为电路理论及集成电路设计;
陈墨: 女，1982年生，副教授，博士生，研究方向为电工理论与新技术、类脑计算与神经网络;
武花干: 女，1987年生，讲师，博士生，研究方向为电工理论与新技术、类脑计算与神经网络

通讯作者: 武花干,wuhg@cczu.edu.cn

基金项目: 国家自然科学基金(51607013, 61601062)

摘要: 该文提出了一种忆阻高通滤波电路，它是由有源高通RC滤波器与二极管桥级联LC振荡器的忆阻模拟器并联耦合组成的。该文建立了电路方程与系统模型。基于分岔图、相平面图、庞加莱映射等数值仿真，开展了以反馈增益为可调参数的分岔分析，揭示了忆阻高通滤波电路中存在的准周期、混沌环面、混沌和多周期等簇发振荡行为。进一步地，通过快慢分析法，导出了快子系统的Hopf分岔集，并进而阐述了忆阻高通滤波电路慢通道效应的形成机理。最后，基于Multisim电路仿真验证了数值仿真结果。

关键词:

English

Quasi-periodic, Chaotic-torus Bursting Oscillations and SlowPassage Effect in Memristive High-pass Filter Circuit

1.
School of Electronic Information, Nanjing College of Information Technology, Nanjing 210023, China
2.
School of Information Science and Engineering, Changzhou University, Changzhou 213164, China

Corresponding author: Huagan WU,wuhg@cczu.edu.cn

Received Date: 2019-05-24
Accepted Date: 2019-09-09
Available Online: 2019-01-01
Fund Project: The National Natural Science Foundations of China (51607013, 61601062)

Abstract: A memristive high-pass filter circuit is presented, which is composed of an active high-pass RC filter parallelly coupling with a memristor emulator of diode-bridge cascaded by LC oscillator. The circuit equations and system model are established. Based on bifurcation diagram, phase plane plot, and Poincaré mapping, bifurcation analysis with the feedback gain as adjustable parameter is performed, from which bursting oscillating behaviors including quasi-period, chaotic-torus, chaos, and multiple period that exist in such a memristive high-pass filter circuit are disclosed. Furthermore, through fast-slow analysis method, Hopf bifurcation set of the fast sub-system is derived, with which the formation mechanism of slow passage effect in the memristive high-pass filter circuit is expounded. Finally, the numerical simulation results are validated based on Multisim circuit simulations.

Key words:

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图 1 忆阻高通滤波电路和2阶压控扩展型忆阻器

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图 2 忆阻高通滤波电路随参数k变化的分岔行为

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图 3 不同参数k时数值仿真得到的四种簇发振荡行为

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图 4 4种典型参数k时不同类型簇发振荡的慢通道效应分析

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图 5 4种典型参数k时电路仿真截获的不同簇发振荡行为

下载: 全尺寸图片幻灯片