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基于雙曲正切憶阻器的Duffing系統(tǒng)中簇發(fā)、共存分析及其DSP實(shí)現(xiàn)

王夢(mèng)蛟,  鄧勇,  李志軍,  曾以成

王夢(mèng)蛟, 鄧勇, 李志軍, 曾以成. 基于雙曲正切憶阻器的Duffing系統(tǒng)中簇發(fā)、共存分析及其DSP實(shí)現(xiàn)[J]. 電子與信息學(xué)報(bào), 2020, 42(4): 818-826. doi: 10.11999/JEIT190631
引用本文: 王夢(mèng)蛟, 鄧勇, 李志軍, 曾以成. 基于雙曲正切憶阻器的Duffing系統(tǒng)中簇發(fā)、共存分析及其DSP實(shí)現(xiàn)[J]. 電子與信息學(xué)報(bào), 2020, 42(4): 818-826. doi: 10.11999/JEIT190631
Mengjiao WANG, Yong DENG, Zhijun LI, Yicheng ZENG. Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor[J]. Journal of Electronics & Information Technology, 2020, 42(4): 818-826. doi: 10.11999/JEIT190631
Citation: Mengjiao WANG, Yong DENG, Zhijun LI, Yicheng ZENG. Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor[J]. Journal of Electronics & Information Technology, 2020, 42(4): 818-826. doi: 10.11999/JEIT190631

基于雙曲正切憶阻器的Duffing系統(tǒng)中簇發(fā)、共存分析及其DSP實(shí)現(xiàn)

doi: 10.11999/JEIT190631
  • 1.

    湘潭大學(xué)自動(dòng)化與電子信息學(xué)院 湘潭 411105

  • 2.

    湘潭大學(xué)物理與光電工程學(xué)院 湘潭 411105

基金項(xiàng)目: 國家自然科學(xué)基金(11747087)，湖南省自然科學(xué)基金(2019JJ50624)，湖南省教育廳科學(xué)研究項(xiàng)目(17C1530)，廣東省自然科學(xué)基金(2017A030310659)
詳細(xì)信息
    作者簡(jiǎn)介:

    王夢(mèng)蛟：男，1983年生，講師，碩士生導(dǎo)師，研究方向?yàn)榉蔷€性系統(tǒng)動(dòng)力學(xué)分析及其電路實(shí)現(xiàn)、信號(hào)噪聲抑制和特征提取

    鄧勇：男，1995年生，碩士生，研究方向?yàn)榉蔷€性系統(tǒng)、憶阻器混沌系統(tǒng)

    李志軍：男，1973年生，教授，碩士生導(dǎo)師，研究方向?yàn)榛煦珉娐放c系統(tǒng)、電流模式電路連續(xù)時(shí)間濾波器設(shè)計(jì)

    曾以成：男，1962年生，教授，博士生導(dǎo)師，研究方向?yàn)閼涀杵骰煦珉娐吩O(shè)計(jì)與應(yīng)用、利用混沌電路系統(tǒng)進(jìn)行微弱信號(hào)檢測(cè)

    通訊作者:

    王夢(mèng)蛟　wangmengjiao_1983@163.com

  • 中圖分類號(hào): TN601

Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor

  • 1.

    College of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China

  • 2.

    School of Physics and Optoelectric Engineering, Xiangtan University, Xiangtan 411105, China

Funds: The National Natural Science Foundation of China (11747087), The Natural Science Foundation of Hunan Province (2019JJ50624), The Research Foundation of Education Department of Hunan Province (17C1530), The Natural Science Foundation of Guangdong Province(2017A030310659)
  • 摘要: 憶阻器作為第4種基本電路元件由蔡少棠首次提出，它的提出為混沌電路的設(shè)計(jì)和工程應(yīng)用提供了新思路。該文通過在Homles型Duffing系統(tǒng)中引入一個(gè)雙曲正切憶阻模型，得到了一個(gè)新憶阻Duffing非自治系統(tǒng)。利用轉(zhuǎn)換相圖、相圖、Lyapunov指數(shù)等，揭示了該系統(tǒng)具有振蕩尖峰數(shù)目可控簇發(fā)、非完全對(duì)稱雙邊簇發(fā)、非完全對(duì)稱的簇發(fā)共存、多種周期混沌共存等新穎動(dòng)力學(xué)行為。并通過分岔圖及平衡點(diǎn)分析，研究了其簇發(fā)產(chǎn)生機(jī)理。采用Multisim電路仿真與數(shù)字信號(hào)處理平臺(tái)(DSP)對(duì)系統(tǒng)進(jìn)行了硬件實(shí)現(xiàn)，與理論分析基本一致的實(shí)驗(yàn)結(jié)果證明該系統(tǒng)是可行的且是物理可實(shí)現(xiàn)的。
    Abstract: Memristor is first proposed by Chua as the fourth basic circuit element, which provides a novel idea for the design and engineering application of chaotic circuits. A novel memristive Duffing nonautonomous system is obtained by introducing a hyperbolic-tangent memristor into the Homles type Duffing system. By using the transformed phase portraits, phase portraits, Lyapunov exponents, etc., it is revealed that the system has novel dynamical behaviors such as bursts with controllable number of oscillation spikes, non-completely symmetrical bilateral bursts, coexistence of non-completely symmetrical bursts, multiple coexistence of chaos and period. The mechanism of bursting is studied by analysis of equilibrium point and bifurcation diagram. Multisim circuit simulation and Digital Signal Processing platform (DSP) are used to implement the system in hardware, and the experimental results basically consistent with the theoretical analysis prove that the system is feasible and physically achievable.
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  • 圖  1  系統(tǒng)式(3)產(chǎn)生的雙渦卷混沌和單渦卷混沌吸引子

    圖  2  隨F變化的共存分岔圖

    圖  3  對(duì)應(yīng)的Lyapunov指數(shù)

    圖  4  系統(tǒng)在IC1下產(chǎn)生的非完全對(duì)稱雙邊簇發(fā)(IAC=0.1sin(0.004×2πt))

    圖  5  IC1雙邊與上支IC2單邊、上支IC2與下支IC1單邊、上支IC1與下支IC2單邊簇發(fā)共存(IAC=0.1sin(F×2πt))

    圖  6  多種混沌、周期共存(IAC=0.1sin(2πF t))

    圖  7  尖峰數(shù)為5的簇發(fā)(IAC=0.2sin(0.004×2πt))

    圖  8  尖峰數(shù)可控簇發(fā)

    圖  9  系統(tǒng)電路原理圖

    圖  10  圖示儀中混沌與共存

    圖  11  DSP硬件實(shí)驗(yàn)圖和示波器捕獲的簇發(fā)

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  • 收稿日期:  2019-08-23
  • 修回日期:  2020-02-28
  • 網(wǎng)絡(luò)出版日期:  2020-03-10
  • 刊出日期:  2020-06-04

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