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簡(jiǎn)潔無(wú)電感憶阻混沌電路及其特性

曾以成 成德武 譚其威

曾以成, 成德武, 譚其威. 簡(jiǎn)潔無(wú)電感憶阻混沌電路及其特性[J]. 電子與信息學(xué)報(bào), 2020, 42(4): 862-869. doi: 10.11999/JEIT190859
引用本文: 曾以成, 成德武, 譚其威. 簡(jiǎn)潔無(wú)電感憶阻混沌電路及其特性[J]. 電子與信息學(xué)報(bào), 2020, 42(4): 862-869. doi: 10.11999/JEIT190859
Yicheng ZENG, Dewu CHENG, Qiwei TAN. A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics[J]. Journal of Electronics & Information Technology, 2020, 42(4): 862-869. doi: 10.11999/JEIT190859
Citation: Yicheng ZENG, Dewu CHENG, Qiwei TAN. A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics[J]. Journal of Electronics & Information Technology, 2020, 42(4): 862-869. doi: 10.11999/JEIT190859

簡(jiǎn)潔無(wú)電感憶阻混沌電路及其特性

doi: 10.11999/JEIT190859
基金項(xiàng)目: 國(guó)家自然科學(xué)基金(61471310)
詳細(xì)信息
    作者簡(jiǎn)介:

    曾以成:男,1962年生,教授,博士生導(dǎo)師,主要研究方向?yàn)榉蔷€(xiàn)性電路、混沌信號(hào)處理、語(yǔ)音信號(hào)處理

    成德武:男,1994年生,碩士生,研究方向?yàn)榉蔷€(xiàn)性系統(tǒng)、混沌信號(hào)處理

    譚其威:女,1993年生,碩士,研究方向?yàn)榉蔷€(xiàn)性系統(tǒng)、混沌信號(hào)處理

    通訊作者:

    曾以成 yichengz@xtu.edu.cn

  • 中圖分類(lèi)號(hào): TN601

A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics

Funds: The National Natural Science Foundation of China (61471310)
  • 摘要: 采用非理想有源電壓控制憶阻器和磁通控制型光滑3次非線(xiàn)性憶阻器,該文設(shè)計(jì)了一種不含電感的簡(jiǎn)單(只含5個(gè)電子元器件)雙憶阻混沌電路。采用常規(guī)的非線(xiàn)性分析手段詳細(xì)研究了電路參數(shù)變化時(shí)系統(tǒng)的基本動(dòng)力學(xué)行為,例如平衡點(diǎn)穩(wěn)定性分析,相軌圖以及李雅普諾夫指數(shù)譜和分岔圖等。通過(guò)調(diào)節(jié)系統(tǒng)控制參數(shù),該系統(tǒng)可產(chǎn)生多渦卷、多翼以及暫態(tài)混沌等十分豐富的動(dòng)力學(xué)現(xiàn)象。此外,還研究了系統(tǒng)依賴(lài)于憶阻器初始狀態(tài)的多穩(wěn)態(tài),得到了一些有意義的結(jié)果。為驗(yàn)證電路的可行性及穩(wěn)定性,通過(guò)對(duì)憶阻器的模擬等效電路的搭建,并將該等效電路應(yīng)用于所提出的混沌電路中,硬件電路實(shí)驗(yàn)結(jié)果以及Multisim電路仿真結(jié)果與理論分析一致。
  • 圖  1  無(wú)電感雙憶阻型混沌電路

    圖  2  憶阻器W3等效電路

    圖  3  憶阻器W4等效電路

    圖  4  系統(tǒng)隨c變化時(shí)李雅普諾夫指數(shù)譜和分岔圖

    圖  5  隨參數(shù)c變化的z-w相圖

    圖  6  暫態(tài)混沌現(xiàn)象

    圖  7  系統(tǒng)隨初始值w(0)變化時(shí)李雅普諾夫指數(shù)譜和分岔圖

    圖  8  憶阻器W4隨初始值w(0)變化的x-w相圖

    圖  9  Multisim仿真電路原理圖

    圖  10  Multisim仿真結(jié)果與硬件等效電路結(jié)果比較

    表  1  憶阻器W3隨初始狀態(tài)變化所產(chǎn)生的多穩(wěn)態(tài)舉例

    z(0)取值LE李雅普諾夫指數(shù)系統(tǒng)狀態(tài)
    4.0(+, 0, –, –)2翼混沌吸引子
    6.5(+, 0, –, –)4翼混沌吸引子
    13.5(+, 0, –, –)6翼混沌吸引子
    17.5(+, 0, –, –)8翼混沌吸引子
    下載: 導(dǎo)出CSV

    表  2  簡(jiǎn)潔無(wú)電感憶阻混沌電路的參數(shù)取值

    參數(shù)名稱(chēng)參值
    $ {C_a},{C_1},{C_3}$電容1 nF
    C2電容25 nF
    $ {g_a},{\rm{ }}{g_b},{\rm{ }}{g_{3,}}{g_4}$增益1
    $ {g_1},{\rm{ }}{g_2}$增益0.1
    R1電阻0.25 kΩ
    R2電阻50.00 kΩ
    R3電阻25.00 kΩ
    $ {R_4},{\rm{ }}{R_c}$電阻10.00 kΩ
    Rb電阻16.70 kΩ
    $ {R_d},{R_e}_,{R_5}{,}{R_6}$電阻2.00 kΩ
    下載: 導(dǎo)出CSV
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  • 收稿日期:  2019-11-01
  • 修回日期:  2019-11-26
  • 網(wǎng)絡(luò)出版日期:  2019-12-20
  • 刊出日期:  2020-06-04

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