憶阻高通濾波電路準(zhǔn)周期與混沌環(huán)面簇發(fā)振蕩及慢通道效應(yīng)

李芳苑; 陳墨; 武花干

doi:10.11999/JEIT190373

憶阻高通濾波電路準(zhǔn)周期與混沌環(huán)面簇發(fā)振蕩及慢通道效應(yīng)

doi: 10.11999/JEIT190373

1.
南京信息職業(yè)技術(shù)學(xué)院電子信息學(xué)院南京 210023
2.
常州大學(xué)信息科學(xué)與工程學(xué)院常州 213164

基金項目: 國家自然科學(xué)基金(51607013, 61601062)

詳細(xì)信息

作者簡介:
李芳苑：女，1988年生，講師，碩士生，研究方向為電路理論及集成電路設(shè)計

陳墨：女，1982年生，副教授，博士生，研究方向為電工理論與新技術(shù)、類腦計算與神經(jīng)網(wǎng)絡(luò)

武花干：女，1987年生，講師，博士生，研究方向為電工理論與新技術(shù)、類腦計算與神經(jīng)網(wǎng)絡(luò)

通訊作者:
武花干　wuhg@cczu.edu.cn

中圖分類號: TN713; TN601
計量
- 文章訪問數(shù): 3257
- HTML全文瀏覽量: 1429
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2019-05-24
- 修回日期: 2019-09-09
- 網(wǎng)絡(luò)出版日期: 2019-09-19
- 刊出日期: 2020-06-04

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

Fangyuan LI¹,
Mo CHEN²,
Huagan WU^{2
, ,}

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

Funds: The National Natural Science Foundations of China (51607013, 61601062)

摘要

摘要: 該文提出了一種憶阻高通濾波電路，它是由有源高通RC濾波器與二極管橋級聯(lián)LC振蕩器的憶阻模擬器并聯(lián)耦合組成的。該文建立了電路方程與系統(tǒng)模型?；诜植韴D、相平面圖、龐加萊映射等數(shù)值仿真，開展了以反饋增益為可調(diào)參數(shù)的分岔分析，揭示了憶阻高通濾波電路中存在的準(zhǔn)周期、混沌環(huán)面、混沌和多周期等簇發(fā)振蕩行為。進(jìn)一步地，通過快慢分析法，導(dǎo)出了快子系統(tǒng)的Hopf分岔集，并進(jìn)而闡述了憶阻高通濾波電路慢通道效應(yīng)的形成機(jī)理。最后，基于Multisim電路仿真驗證了數(shù)值仿真結(jié)果。
- 高通濾波器 /
- 憶阻模擬器 /
- 簇發(fā)振蕩 /
- 慢通道效應(yīng)
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.
- High-pass filter circuit /
- Memristor emulator /
- Bursting oscillation /
- Slow passage effect

HTML全文

圖 1 憶阻高通濾波電路和2階壓控擴(kuò)展型憶阻器

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圖 2 憶阻高通濾波電路隨參數(shù)k變化的分岔行為

下載: 全尺寸圖片幻燈片

圖 3 不同參數(shù)k時數(shù)值仿真得到的4種簇發(fā)振蕩行為

下載: 全尺寸圖片幻燈片

圖 4 4種典型參數(shù)k時不同類型簇發(fā)振蕩的慢通道效應(yīng)分析

下載: 全尺寸圖片幻燈片

圖 5 4種典型參數(shù)k時電路仿真截獲的不同簇發(fā)振蕩行為

下載: 全尺寸圖片幻燈片

參考文獻(xiàn)(18)

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

張毅, 韓修靜, 畢勤勝. 串聯(lián)式叉型滯后簇發(fā)振蕩及其動力學(xué)機(jī)制[J]. 力學(xué)學(xué)報, 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

張正娣, 劉亞楠, 李靜, 等. 分段Filippov系統(tǒng)的簇發(fā)振蕩及擦邊運(yùn)動機(jī)理[J]. 物理學(xué)報, 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

張晨曦, 陳艷, 儀明東, 等. 基于憶阻器模擬的突觸可塑性的研究進(jìn)展[J]. 中國科學(xué): 信息科學(xué), 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

李志軍, 向林波, 肖文潤. 一種通用的記憶器件模擬器及在串聯(lián)諧振電路中的應(yīng)用[J]. 電子與信息學(xué)報, 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

閔富紅, 王珠林, 王恩榮, 等. 新型憶阻器混沌電路及其在圖像加密中的應(yīng)用[J]. 電子與信息學(xué)報, 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

李志軍, 曾以成. 基于文氏振蕩器的憶阻混沌電路[J]. 電子與信息學(xué)報, 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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