A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics

Yicheng ZENG; Dewu CHENG; Qiwei TAN

doi:10.11999/JEIT190859

Volume 42 Issue 4

Jun. 2020

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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

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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

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A Simple Inductor-free Memristive Chaotic Circuit and Its Characteristics

doi: 10.11999/JEIT190859

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

Funds: The National Natural Science Foundation of China (61471310)

Received Date: 2019-11-01
Rev Recd Date: 2019-11-26

Available Online: 2019-12-20

Publish Date: 2020-06-04

Abstract

Abstract

A simple two-memristor chaotic circuit without inductance (only five electronic components) is designed by using a non-ideal active voltage control memristor and a flux-controlled smooth cubic nonlinear memristor. When the circuit parameters change, the basic dynamic behaviors of the system are studied in detail by the means of conventional nonlinear analysis, such as the analysis of equilibrium stability, phase diagram, Lyapunov exponent spectrum and bifurcation diagram. With the parameters changing, the proposed system can produce various phenomena of dynamics such as multi-scrolls, multi-wings and transient transition behaviors. Furthermore, the multistability characteristics of the system are also studied in the condition of changing the initial state of two memristors in system respectively, and some meaningful results are obtained. In order to verify the feasibility and stability of the circuit, the analog equivalent circuit of each memristor is constructed, and it is applied to the proposed chaotic circuit. The experimental results of the hardware circuit and the circuit simulation results of the Multisim are in good agreement with the theoretical analysis.
- Memristor,
- Chaotic circuit,
- Multistability,
- Transient transition behaviors

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References(26)

References

郑利京, 王光义, 张娜. 基于忆阻器的混合CMOS乘法器设计[J]. 杭州电子科技大学学报: 自然科学版, 2019, 39(2): 1–5. doi: 10.13954/j.cnki.hdu.2019.02.001

ZHENG Lijing, WANG Guangyi, and ZHANG Na. A multiplier design based on hybrid memristor-CMOS[J]. Journal of Hangzhou Dianzi University:Natural Sciences, 2019, 39(2): 1–5. doi: 10.13954/j.cnki.hdu.2019.02.001

WANG Xingyuan and ZHANG Huili. A novel image encryption algorithm based on genetic recombination and hyper-chaotic systems[J]. Nonlinear Dynamics, 2016, 83(1/2): 333–346. doi: 10.1007/s11071-015-2330-8

DUAN Shukai, HU Xiaofang, DONG Zhekang, et al. Memristor-based cellular nonlinear/neural network: Design, analysis, and applications[J]. IEEE Transactions on Neural Networks and Learning Systems, 2015, 26(6): 1202–1213. doi: 10.1109/TNNLS.2014.2334701

刘军, 段书凯, 李天舒, 等. 机械臂的自旋忆阻RBF神经网络控制系统设计[J]. 仪器仪表学报, 2018, 39(8): 212–219. doi: 10.19650/j.cnki.cjsi.J1803068

LIU Jun, DUAN Shukai, LI Tianshu, et al. Design of RBF neural network control system based on spintronic memristor for robotic manipulator[J]. Chinese Journal of Scientific Instrument, 2018, 39(8): 212–219. doi: 10.19650/j.cnki.cjsi.J1803068

WANG Chunni, LÜ Mi, ALSAEDI A, et al. Synchronization stability and pattern selection in a memristive neuronal network[J]. Chaos, 2017, 27(11): 113108. doi: 10.1063/1.5004234

吴杰, 王光义, 丘嵘, 等. 忆阻器数字化仿真器的设计与实现[J]. 杭州电子科技大学学报: 自然科学版, 2018, 38(5): 1–6. doi: 10.13954/j.cnki.hdu.2018.05.001

WU Jie, WANG Guangyi, QIU Rong, et al. Design and implementation of digital simulator for memristor[J]. Journal of Hangzhou Dianzi University:Natural Sciences, 2018, 38(5): 1–6. doi: 10.13954/j.cnki.hdu.2018.05.001

WU Xiangjun, FU Zhengye, and KURTHS J. A secure communication scheme based generalized function projective synchronization of a new 5D hyperchaotic system[J]. Physica Scripta, 2015, 90(4): 045210. doi: 10.1088/0031-8949/90/4/045210

ALJAFAR M J, PERKOWSKI M A, ACKEN J M, et al. A time-efficient CMOS-memristive programmable circuit realizing logic functions in generalized AND-XOR structures[J]. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2018, 26(1): 23–36. doi: 10.1109/TVLSI.2017.2750074

阮静雅, 孙克辉, 牟俊. 基于忆阻器反馈的Lorenz超混沌系统及其电路实现[J]. 物理学报, 2016, 65(19): 190502. doi: 10.7498/aps.65.190502

RUAN Jingya, SUN Kehui, and MOU Jun. Memristor-based Lorenz hyper-chaotic system and its circuit implementation[J]. Acta Physica Sinica, 2016, 65(19): 190502. doi: 10.7498/aps.65.190502

BAO Bocheng, JIANG Tao, XU Quan, et al. Coexisting infinitely many attractors in active band-pass filter-based memristive circuit[J]. Nonlinear Dynamics, 2016, 86(3): 1711–1723. doi: 10.1007/s11071-016-2988-6

RUAN Jingya, SUN Kehui, MOU Jun, et al. Fractional-order simplest memristor-based chaotic circuit with new derivative[J]. The European Physical Journal Plus, 2018, 133(1): No. 3, 1–12. doi: 10.1140/epjp/i2018-11828-0

MUTHUSWAMY B and CHUA L O. Simplest chaotic circuit[J]. International Journal of Bifurcation and Chaos, 2010, 20(5): 1567–1580. doi: 10.1142/S0218127410027076

MUTHUSWAMY B. Implementing memristor based chaotic circuits[J]. International Journal of Bifurcation and Chaos, 2010, 20(5): 1335–1350. doi: 10.1142/S0218127410026514

ITOH M and CHUA L O. Memristor oscillators[J]. International Journal of Bifurcation and Chaos, 2008, 18(11): 3183–3206. doi: 10.1142/S0218127408022354

YUAN Fang and LI Yuxia. A chaotic circuit constructed by a memristor, a memcapacitor and a meminductor[J]. An Interdisciplinary Journal of Nonlinear Science, 2019, 29(10): 101101. doi: 10.1063/1.5125673

LI Chuang, MIN Fuhong, and LI Chunbiao. Multiple coexisting attractors of the serial-parallel memristor-based chaotic system and its adaptive generalized synchronization[J]. Nonlinear Dynamics, 2018, 94(4): 2785–2806. doi: 10.1007/s11071-018-4524-3

RAJAGOPAL K, LI Chunbiao, NAZARIMEHR F, et al. Chaotic dynamics of modified Wien bridge oscillator with fractional order memristor[J]. Radioengineering, 2019, 28(1): 165–174.

洪庆辉, 曾以成, 李志军. 含磁控和荷控两种忆阻器的混沌电路设计与仿真[J]. 物理学报, 2013, 63(23): 230502. doi: 10.7498/aps.62.230502

HONG Qinghui, ZENG Yicheng, and LI Zhijun. Design and simulation of chaotic circuit for flux-controlled memristor and charge-controlled memristor[J]. Acta Physica Sinica, 2013, 63(23): 230502. doi: 10.7498/aps.62.230502

BAO Bocheng, ZHANG Xi, BAO Han, et al. Dynamical effects of memristive load on peak current mode buck-boost switching converter[J]. Chaos, Solitons & Fractals, 2019, 122: 69–79.

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

BAO Bocheng, MA Zhenghua, XU Jianping, et al. A simple memristor chaotic circuit with complex dynamics[J]. International Journal of Bifurcation and Chaos, 2011, 21(9): 2629–2645. doi: 10.1142/S0218127411029999

WANG Chunhua, LIU Xiaoming, and XIA Hu. Multi-piecewise quadratic nonlinearity memristor and its 2N-scroll and 2N+1-scroll chaotic attractors system[J]. An Interdisciplinary Journal of Nonlinear Science, 2017, 27(3): 033114. doi: 10.1063/1.4979039

谭志平, 曾以成, 李志军, 等. 浮地型忆阻器混沌电路的分析与实现[J]. 仪器仪表学报, 2014, 35(9): 2123–2129.

TAN Zhiping, ZENG Yicheng, and LI Zhijun. Analysis and implementation of a floating memristor chaotic circuit[J]. Chinese Journal of Scientific Instrument, 2014, 35(9): 2123–2129.

BAO Bocheng, JIANG Tao, WANG Guangyi, et al. Two-memristor-based Chua’s hyperchaotic circuit with plane equilibrium and its extreme multistability[J]. Nonlinear Dynamics, 2017, 89(2): 1157–1171. doi: 10.1007/s11071-017-3507-0

CHEN Mo, SUN Mengxia, BAO Bocheng, et al. Controlling extreme multistability of memristor emulator-based dynamical circuit in flux-charge domain[J]. Nonlinear Dynamics, 2018, 91(2): 1395–1412. doi: 10.1007/s11071-017-3952-9

TAN Qiwei, ZENG Yicheng, and LI Zhijun. A simple inductor-free memristive circuit with three line equilibria[J]. Nonlinear Dynamics, 2018, 94(3): 1585–1602. doi: 10.1007/s11071-018-4443-3

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