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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

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, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373
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, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373
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 & Information Technology, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373
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 & Information Technology, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373

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

doi: 10.11999/JEIT190373
基金项目: 国家自然科学基金(51607013, 61601062)
详细信息
    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

  • 中图分类号: TN713; TN601

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

Funds: The National Natural Science Foundations of China (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。
  • 图  1  忆阻高通滤波电路和2阶压控扩展型忆阻器

    图  2  忆阻高通滤波电路随参数k变化的分岔行为

    图  3  不同参数k时数值仿真得到的4种簇发振荡行为

    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

    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

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出版历程
  • 收稿日期:  2019-05-24
  • 修回日期:  2019-09-09
  • 网络出版日期:  2019-09-19
  • 刊出日期:  2020-06-04

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