基于忆阻器的五阶MCK混沌电路研究

J4 ›› 2016, Vol. 33 ›› Issue (1): 56-62.

基于忆阻器的五阶MCK混沌电路研究

欧青立,徐林波,郭子叶,李娅

湖南科技大学信息与电气工程学院，湖南湘潭 411201

收稿日期:2015-03-16 修回日期:2015-08-22 出版日期:2016-01-28 发布日期:2016-01-06

Five order MCK chaotic circuit based on Memristor

OU Qingli，XU Linbo，GUO Ziye, LI ya

School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, 411201,China

Received:2015-03-16 Revised:2015-08-22 Published:2016-01-28 Online:2016-01-06

摘要/Abstract

摘要：

采用忆阻器替换分段线性电阻的方法，在Matsumoto、Chua和Kobayashi 提出的四阶混沌电路基础上，设计了一个含有忆阻器的五阶对称混沌电路。建立了五阶忆阻混沌电路的数学模型。采用常规动力学分析方法，分析了五阶忆阻混沌电路的平衡点集及其稳定性、Lyapunov指数。采用常规元器件，构建了五阶忆阻混沌电路的仿真模型，并进行了电路仿真实验。理论分析和仿真实验结果表明，设计的五阶忆阻混沌电路具有丰富的混沌行为，丰富了忆阻混沌电路的设计与应用。

关键词: 非线性电路；五阶忆阻混沌；动力学分析；忆阻器；混沌电路

Abstract:

A five order symmetry chaotic circuit that includes memoristor is designed by adopting the method which memoristor replace the piecewise-linear resistance, based on the four order chaotic circuit proposed by Matsumoto, Chua and Kobayashi, here the model of five order memoristor circuit is built. Conventional dynamics analysis method is used to analyze the equilibrium point set, stability and Lyapunov exponent. Conventional components are used to build simulation model of five order memoristor chaotic circuit and do circuit simulation experiments. Theoretical analysis and simulation experimental results show that five order memoristor chaotic circuit designed has rich chaotic behavior, which widen the design and application of memoristor chaos circuit.

Key words: nonlinear circuit; five order memristor chaos; dynamics analysis; memristor; chaotic circuit

中图分类号:

O415.5

欧青立徐林波郭子叶李娅. 基于忆阻器的五阶MCK混沌电路研究[J]. J4, 2016, 33(1): 56-62.

OU Qingli，XU Linbo，GUO Ziye, LI ya. Five order MCK chaotic circuit based on Memristor[J]. J4, 2016, 33(1): 56-62.

参考文献

[1]Chua L O.Memristor-the missing circuit element[J].IEEE Trans Circuit Theory, 1971, 18(5):507-519 [2] Strukov D B, Snider G S, Stewart D R, et al.The missing memristor found[J].Nature, 2008, 453:80-83 [3]Ventra M D, Pershin Y V, Chua L O.Circuit elements with memory: memristors,memcapacitors,and meminductors[J].Proc IEEE, 2009, 97(10):1717-1724 [4]Martinelli G.Circuit modeling of nano-devices[J].Electronics Lett, 2008, 44(22):1294-1295 [5]Benderli S, Wey T A.On SPICE macromodelling of TiO2 memristors[J].Electronics Lett, 2009, 45(7):377-379 [6]Biolek Z, Biolek D, Biolková V.SPICE model of memristor with nonlinear dopant drift[J].Radioengineering, 2009, 18(2):210-214 [7]Chua L O, Kang S M.Memristive devices and systems[J].Proc IEEE, 1976, 64(2):209-223 [8]Joglekar Y N, Wolf S J.The elusive memristor: properties of basic electrical circuits[J].European J Phys, 2009, 30(4):661-675 [9]Pershin Y V, Di Ventra M.Memristive circuits simulate memcapacitors and meminductors[J].Electronics Lett, 2010, 46(7):517-518 [10]Riaza R.Nondegeneracy conditions for active memristive circuits[J].IEEE Trans Circuits Systems – II, 2010, 57(3):223-227 [11]Muthuswamy B, Chua L O.Simplest chaotic circuit[J].Int J Bifurcat Chaos, 2010, 20(5):1567-1580 [12]MuthuswamyB.Implementing memristor based chaotic circuits[J].Int J Bifurcat Chaos, 2010, 20(5):1335-1350 [13]Taogetusang, YI Lina.Many new solutions of nonlinear LC circuit equation[J].量子电子学报, 2015, 32(1):30-39 [14]HE Yu-jun, CHU Run-tong, LI Fan.Linear coupling-induced synchronization between periodic Chua oscillators[J].量子电子学报, 2013, 30(5):601-607 [15]Itoh M, Chua L O.Memristor oscillators[J].Int J Bifurcat Chaos, 2008, 18(11):3183-3206 [16]Bao Bo-Cheng, Liu Zhong, Xu Jian-Ping.Dynamical analysis of memristor chaotic oscillator[J].物理学报, 2010, 59(6):3785-3793 [17]Matsumoto T, Chua L O, Kobayashi K.Hyper chaos: laboratory experiment and numerical confirmation[J].Circuits and Systems, IEEE Transactions on, 1986, 33(11):1143-1147 [18]OU Qingli，XU Lanxia.New multi-scroll chaotic system and its circuit simulation[J].计算机工程与应用, 2013, 49(12):187-190 [19]Zhong G Q.Implementation of Chua's circuit with a cubic nonlinearity[J].IEEE Transactions on Circuits and Systems Part I Fundamental Theory and Applications, 1994, 41(12):934-940