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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

  • IZHIKEVICH E M. Neural excitability, spiking and bursting[J]. International Journal of Bifurcation and Chaos, 2000, 10(6): 1171–1266. doi: 10.1142/S0218127400000840
    ZHANG Xi, XU Jianping, BAO Bocheng, et al. Asynchronous-switching map-based stability effects of circuit parameters in fixed off-time controlled buck converter[J]. IEEE Transactions on Power Electronics, 2016, 31(9): 6686–6697. doi: 10.1109/TPEL.2015.2501367
    张毅, 韩修静, 毕勤胜. 串联式叉型滞后簇发振荡及其动力学机制[J]. 力学学报, 2019, 51(1): 228–236. doi: 10.6052/0459-1879-18-223

    ZHANG Yi, HAN Xiujing, and BI Qinsheng. Series-mode pitchfork-hysteresis bursting oscillations and their dynamical mechanisms[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 228–236. doi: 10.6052/0459-1879-18-223
    张正娣, 刘亚楠, 李静, 等. 分段Filippov系统的簇发振荡及擦边运动机理[J]. 物理学报, 2018, 67(11): 110501. doi: 10.7498/aps.67.20172421

    ZHANG Zhengdi, LIU Ya‘nan, LI Jing, et al. Bursting oscillations and mechanism of sliding movement in piecewise Filippov system[J]. Acta Physica Sinica, 2018, 67(11): 110501. doi: 10.7498/aps.67.20172421
    BAO Han, LIU Wenbo, and HU Aihuang. Coexisting multiple firing patterns in two adjacent neurons coupled by memristive electromagnetic induction[J]. Nonlinear Dynamics, 2019, 95(1): 43–56. doi: 10.1007/s11071-018-4549-7
    YANG Yan, CUI Yihui, SANG Kangning, et al. Ketamine blocks bursting in the lateral habenula to rapidly relieve depression[J]. Nature, 2018, 554(7692): 317–322. doi: 10.1038/nature25509
    WU Huagan, BAO Bocheng, LIU Zhong, et al. Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator[J]. Nonlinear Dynamics, 2016, 83(1/2): 893–903. doi: 10.1007/s11071-015-2375-8
    BAO Bocheng, WU Pingye, BAO Han, et al. Chaotic bursting in memristive diode bridge-coupled Sallen-Key lowpass filter[J]. Electronics Letters, 2017, 53(16): 1104–1105. doi: 10.1049/el.2017.1647
    BAO Bocheng, WU Pingye, BAO Han, et al. Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator[J]. Chaos, Solitons & Fractals, 2018, 106: 161–170. doi: 10.1016/j.chaos.2017.11.025
    张晨曦, 陈艳, 仪明东, 等. 基于忆阻器模拟的突触可塑性的研究进展[J]. 中国科学: 信息科学, 2018, 48(2): 115–142. doi: 10.1360/N112017-00022

    ZHANG Chenxi, CHEN Yan, YI Mingdong, et al. Recent progress in memristors for stimulating synaptic plasticity[J]. Scientia Sinica Informationis, 2018, 48(2): 115–142. doi: 10.1360/N112017-00022
    李志军, 向林波, 肖文润. 一种通用的记忆器件模拟器及在串联谐振电路中的应用[J]. 电子与信息学报, 2017, 39(7): 1626–1633. doi: 10.11999/JEIT161060

    LI Zhijun, XIANG Linbo, and XIAO Wenrun. Universal mem-elements emulator and its application in RLC circuit[J]. Journal of Electronics &Information Technology, 2017, 39(7): 1626–1633. doi: 10.11999/JEIT161060
    闵富红, 王珠林, 王恩荣, 等. 新型忆阻器混沌电路及其在图像加密中的应用[J]. 电子与信息学报, 2016, 38(10): 2681–2688. doi: 10.11999/JEIT160178

    MIN Fuhong, WANG Zhulin, WANG Enrong, et al. New memristor chaotic circuit and its application to image encryption[J]. Journal of Electronics &Information Technology, 2016, 38(10): 2681–2688. doi: 10.11999/JEIT160178
    李志军, 曾以成. 基于文氏振荡器的忆阻混沌电路[J]. 电子与信息学报, 2014, 36(1): 88–93. doi: 10.3724/SP.J.1146.2013.00332

    LI Zhijun and ZENG Yicheng. A memristor chaotic circuit based on Wien-bridge oscillator[J]. Journal of Electronics &Information Technology, 2014, 36(1): 88–93. doi: 10.3724/SP.J.1146.2013.00332
    CHEN Chengjie, CHEN Jingqi, BAO Han, et al. Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons[J]. Nonlinear Dynamics, 2019, 95(4): 3385–3399. doi: 10.1007/s11071-019-04762-8
    CHUA L. If it’s pinched it’s a memristor[J]. Semiconductor Science and Technology, 2014, 29(10): 104001. doi: 10.1088/0268-1242/29/10/104001
    SIGNING V R F and KENGNE J. Coexistence of hidden attractors, 2-torus and 3-torus in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity[J]. International Journal of Dynamics and Control, 2018, 6(4): 1421–1428. doi: 10.1007/s40435-017-0392-9
    BAER S M, ERNEUX T, and RINZEL J. The slow passage through a Hopf bifurcation: Delay, memory effects, and resonance[J]. SIAM Journal on Applied Mathematics, 1989, 49(1): 55–71. doi: 10.1137/0149003
    PREMRAJ D, SURESH K, BANERJEE T, et al. An experimental study of slow passage through Hopf and pitchfork bifurcations in a parametrically driven nonlinear oscillator[J]. Communications in Nonlinear Science and Numerical Simulation, 2016, 37: 212–221. doi: 10.1016/j.cnsns.2016.01.012
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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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