实数指数幂忆阻函数设计与电路仿真实现

doi:10.16182/j.issn1004731x.joss.201810026

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (10): 3807-3816.doi: 10.16182/j.issn1004731x.joss.201810026

实数指数幂忆阻函数设计与电路仿真实现

张小红, 齐彦丽

江西理工大学信息工程学院,江西赣州 341000

收稿日期:2016-09-03 修回日期:2016-11-16 出版日期:2018-10-10 发布日期:2019-01-04
作者简介:张小红(1966-),女,河北昌黎,博士,教授,研究方向为非线性动力学,视频保密通信。
基金资助:
国家自然科学基金(61763017, 51665019),江西省自然基金(20161BAB202053, 20161BAB2061 45), 江西省教育厅科技项目(GJJ150621),江西省研究生创新专项资金(YC2015-S290)

Simple Chaotic Circuit Based on Memristance Function with Real Exponents Power

Zhang Xiaohong, Qi Yanli

School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China

Received:2016-09-03 Revised:2016-11-16 Online:2018-10-10 Published:2019-01-04

摘要/Abstract

摘要： 混沌电路仅包含3个电路元件：1个线性无源电导,1个线性无源电容和1个非线性忆阻器,其中在忆阻器设计中,现有的忆阻函数多项式均采用整数指数幂。在此基础上,设计了一个忆阻函数多项式为实数指数幂的一般忆阻器,构建了基于该忆阻器的简约混沌电路系统,分别研究了整数幂、实数幂以及线性参数对系统动力学行为的影响,并利用Lyapunov指数定性分析了系统的混沌特性。数值计算与电路实验仿真结果表明所设计的电子器件满足忆阻器的本质特征,实数指数幂忆阻函数具有更加广泛和通用的应用价值。

关键词: 忆阻器, 混沌电路, 实数指数幂, 电路仿真

Abstract: The simplest chaotic circuit contains only three circuit elements: a linear passive inductor, a linear passive capacitor and a nonlinear active memristor. In the design of memristors, power of memristance function polynomial with integral exponents is commonly used. On this basis, a general memristor is designed, of which the memristance function polynomial uses power with real exponents, a simple chaotic system is constructed based on the designed memristor. The influence of integral exponents, real exponents and linear parameters on dynamic behaviors is investigated, and chaotic behaviors are analyzed qualitatively using Lyapunov exponents. The Matlab and Multisim simulation results show that the designed device meets the three characteristic fingerprints of a memristor, and it is confirmed to be a memristance. The real exponential power memristance function has better effectiveness and universality.

Key words: memristor, chaotic circuit, power with real exponents, circuit simulation

中图分类号:

TM13

张小红, 齐彦丽. 实数指数幂忆阻函数设计与电路仿真实现[J]. 系统仿真学报, 2018, 30(10): 3807-3816.

Zhang Xiaohong, Qi Yanli. Simple Chaotic Circuit Based on Memristance Function with Real Exponents Power[J]. Journal of System Simulation, 2018, 30(10): 3807-3816.

参考文献

[1] L O Chua.Memristor-The Missing Circuit Element[J]. IEEE Transaction on Circuit Theory (S0018-9324), 1971, 18(5): 507-519.
[2] L O Chua, S M Kang.Memristive devices and systems[J]. Proceedings of the IEEE (S0018-9219), 1976, 64(2): 209-223.
[3] D B Strukov, G S Snider, G R Stewart, et al.The missing memristor found[J]. Nature (S0028-0836), 2008, 453(7191): 80-83.
[4] S Adhikari, M Sah, H Kim, et al.Three fingerprints of memristor[J]. IEEE Transactions on Circuits and Systems I (S1549-8328): Regular Papers, 2013, 60(11): 3008-3021.
[5] D Biolek, Z Biolek, V Biolkova, et al.Some fingerprints of ideal memristors[C]// IEEE International Symposium on Circuits and Systems (ISCAS). USA: IEEE, 2013: 201-204.
[6] H Kim, M P Sah, C J Yang, et al.Memristor emulator for memristor circuit applications[J]. IEEE Transactions on Circuits and Systems I (S1549-8328): Regular Papers, 2012, 59(10): 2422-2431.
[7] Y N Joglekar, S J Wolf.The elusive memristor: properties of basic electrical circuits[J]. European Journal of Physics (S0143-0807), 2009, 30(4): 661-675.
[8] 聂廷远, 王培培, 高久顼, 吉爱国. 基于复杂网络的FPGA IP核电路及其安全性分析[J]. 信息网络安全, 2017, 17(10): 8-12.
Nie Tingyuan, Wang Peipei, Gao Jiuxu, Ji Aiguo.The analysis on FPGA IP core circuit and its security based on complex network[J]. Netinfo Security (S1671-1122), 2017, 17(10): 8-12.
[9] S Kvatinsky, E G Friedman, A Kolodny, et al.TEAM: threshold adaptive memristor model[J]. IEEE Transactions on Circuits and System I (S1549-8328): Regular Papers, 2013, 60(1): 211-221.
[10] F Corinto, A Ascoli.A boundary condition-based approach to the modeling of memristor nanostructures[J]. IEEE Transactions on Circuits and Systems I (S1549-8328): Regular Papers, 2012, 59(11): 2713-2726.
[11] T Prodromakis, B P Peh, C Papavassiliou, et al.A versatile memristor model with nonlinear dopant kinetics[J]. IEEE Transactions on Electron Devices (S0018-9383), 2011, 58(9): 3099-3105.
[12] B Muthuswamy.Memristor based chaotic circuits[J]. IETE Technical Review (S0256-4602), 2009, 26(6): 415-426.
[13] 李志军, 曾以成, 李志斌. 改进型细胞神经网络实现的忆阻器混沌电路 [J]. 物理学报, 2014, 63(1): 010502.(这个期刊没有起止页码)
Li Zhijun, Zeng Yicheng, Li Zhibin.Memristive chaotic circuit based on modified SC-CNNs[J]. Acta Phys. Sin.(S1000-3290), 2014, 63(1): 010502.
[14] B Muthuswamy, L O Chua.Simplest chaotic circuit[J]. International Journal of Bifurcation and Chaos (S0218-1274), 2010, 20(5): 1567-1580.
[15] L Teng, H H C Iu, X Wang, et al. Chaotic behavior in fractional-order memristor-based simplest chaotic circuit using fourth degree polynomial[J]. Nonlinear Dyn.(S0924-090X), 2014, 77(1-2): 231-241.
[16] Ahmed G Radwan, Mohammed E Fouda.On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor[M]. Germany: Springer(S), 2015: 16-17.
[17] 童诗白, 华成英. 模拟电子技术基础(第4版) [M]. 北京: 高等教育出版社, 2006.
Tong Shibai, Hua Chengying.Basic Course of Analog Electronic Technology (4th Ed) [M]. Beijing, China: Higher Education Press, 2006.

实数指数幂忆阻函数设计与电路仿真实现

Simple Chaotic Circuit Based on Memristance Function with Real Exponents Power

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

本文评价

[1]	陈皓琦, 张小红. 双磁控忆阻器动力学模型及FPGA硬件电路实现[J]. 系统仿真学报, 2020, 32(8): 1531-1545.
[2]	屈双惠, 杨志宏, 容旭巍, 吴淑花. 一个新忆阻混沌系统及其在图像加密中的应用[J]. 系统仿真学报, 2019, 31(5): 984-991.
[3]	张小红, 万丽娟, 龙克柳. Chua电路的异构磁控忆阻器设计与仿真实现[J]. 系统仿真学报, 2019, 31(1): 65-73.
[4]	甘朝晖, 张士英, 吴宇鑫. 一种带有非线性漂移函数的分数阶忆阻器模型[J]. 系统仿真学报, 2018, 30(8): 2884-2891.
[5]	吴淑花, 容旭巍, 刘振永. 含两个荷控忆阻器最简混沌电路的设计与研究[J]. 系统仿真学报, 2018, 30(10): 3985-3995.
[6]	甘朝晖, 吴宇鑫, 蒋旻, 张士英. 一种基于忆阻器的忆容器模型[J]. 系统仿真学报, 2017, 29(12): 3176-3184.
[7]	张小红, 廖琳玉, 俞梁华. 新型忆阻细胞神经网络的建模及电路仿真[J]. 系统仿真学报, 2016, 28(8): 1715-1725.
[8]	徐跃, 谢小朋, 岳恒. 单光子雪崩二极管行为性仿真建模[J]. 系统仿真学报, 2015, 27(6): 1199-1204.