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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

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

    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。

English

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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

    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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文章相关
  • 通讯作者:  武花干, wuhg@cczu.edu.cn
  • 收稿日期:  2019-05-24
  • 录用日期:  2019-09-09
  • 网络出版日期:  2019-09-19
  • 刊出日期:  2020-04-01
通讯作者: 陈斌, bchen63@163.com
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