[1]吕晏旻,闵富红,彭光娅,等.异构磁控忆阻混沌电路的同步及其在彩色图像加密中的应用[J].南京师范大学学报(工程技术版),2019,(01):008.[doi:10.3969/j.issn.1672-1292.2019.01.002]
 Lü Yanmin,Min Fuhong,Peng Guangya,et al.Synchronization of Heterogeneous Magnetron Memristive ChaoticCircuits and Its Application in Color Image Encryption[J].Journal of Nanjing Normal University(Engineering and Technology),2019,(01):008.[doi:10.3969/j.issn.1672-1292.2019.01.002]
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异构磁控忆阻混沌电路的同步及其在彩色图像加密中的应用
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年01期
页码:
008
栏目:
电气与自动化工程
出版日期:
2019-03-30

文章信息/Info

Title:
Synchronization of Heterogeneous Magnetron Memristive ChaoticCircuits and Its Application in Color Image Encryption
文章编号:
1672-1292(2019)01-0008-11
作者:
吕晏旻1闵富红1彭光娅1张若飞2
(1.南京师范大学电气与自动化工程学院,江苏 南京 210023)(2.南京环网动力设备有限公司,江苏 南京 210042)
Author(s):
Lü Yanmin1Min Fuhong1Peng Guangya1Zhang Ruofei2
(1.School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210023,China)(2.Nanjing Power Equipment Company,Nanjing 210042,China)
关键词:
异构忆阻系统完全同步投影同步彩色图像加密
Keywords:
heterogeneous memristive systemcomplete synchronizationprojective synchronizationcolor image encryption
分类号:
O415.5
DOI:
10.3969/j.issn.1672-1292.2019.01.002
文献标志码:
A
摘要:
基于Lyapunov稳定性理论,设计一种含有指数函数的非线性同步控制器,实现了异构磁控忆阻混沌系统之间的完全同步、比例投影同步和函数投影同步. 通过误差曲线、同步时序图及同步相图等证明同步控制器的有效性与可行性. 选择合适的密钥,实现异构忆阻系统同步在彩色图像加密中的应用,通过直方图、相关性及密钥敏感性分析验证了加密效果. 结果表明,将这种忆阻混沌同步应用到图像加密中具有很高的研究价值与工程意义.
Abstract:
This paper,based on Lyapunov stability theory,designs the nonlinear synchronization controller with exponential function,which is used to realize complete synchronization,proportional projective synchronization and function projective synchronization between two heterogeneous memristor-based chaotic systems. Subsequently,the validity and feasibility of the synchronization controller are proved by the error curve,the synchronous sequence diagrams and synchronous phase. Moreover,the application of the synchronization in color image encryption is fulfilled by selecting appropriate keys. Correspondingly,the effect of encryption is verified by the analysis of histogram,correlation and key sensitivity. Finally,it is found that the application of the synchronization of memristive systems in image encryption is meaningful and valuable through memerical results.

参考文献/References:

[1] YANG X,CAO J,QIU J. Pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control[J]. Neural networks the official journal of the international neural network society,2015,65(C):80-91.
[2]梁义,王兴元. 结点含时滞的具有零和非零时滞耦合的复杂网络混沌同步[J]. 物理学报,2013,62(1):018901 0-018901 6.
LIANG Y,WANG X Y. Chaotic synchronization in complex networks with delay nodes by non-delay and delay couplings[J]. Acta Phys Sin,2013,62(1):018901 0-018901 6.(in Chinese)
[3]郑光超,刘崇新,王琰. 一种具有隐藏吸引子的分数阶混沌系统的动力学分析及有限时间同步[J]. 物理学报,2018(5):050502 1-050502 8.ZHENG G C,LIU C X,WANG Y. Dynamic analysis and finite time synchronization of a fractional-order chaotic system with hidden attractors[J]. Acta Phys Sin,2018(5):050502 1-050502 8.(in Chinese)
[4]张玮玮,陈定元,吴然超,等. 一类基于忆阻器分数阶时滞神经网络的修正投影同步[J]. 应用数学和力学,2018,39(2):239-248.
ZHANG W W,CHEN D Y,WU R C,et al. Modified-projective-synchronization of memristor-based fractional-order delayed neural networks[J]. Applied mathematics and mechanics,2018,39(2):239-248.(in Chinese)
[5]YANG S J,LI C D,HUANG T W. Synchronization of coupled memristive chaotic circuits via state dependent impulsive control[J]. Nonlinear dynamics,2017,88(1):115-129.
[6]WANG S,WANG X,ZHOU Y. A memristor-based complex Lorenz system and its modified projective synchronization[J]. Entropy,2015,17(11):7628-7644.
[7]ZHANG B,DENG F Q. Double-compound synchronization of six memristor-based Lorenz systems[J]. Nonlinear dynamics,2014,77(4):1519-1530.
[8]桑金玉,王娇,岳立娟. 异构二维延迟系统的广义混沌同步[J]. 物理学报,2010,59(11):7618-7622.
SANG J Y,WANG J,YUE L J. Synchronization of chaos for two-dimensional time-delayed chaotic systems with different structures[J]. Acta Phys Sin,2010,59(11):7618-7622.(in Chinese)
[9]张小红,周勇飞. 异构超混沌广义同步系统构造及其电路仿真[J]. 计算机工程与科学,2014,36(3):551-557.
ZHANG X H,ZHOU Y F. Generalized synchronization system construction of heterogeneous hyperchaotic and its circuit simulation[J]. Computer engineering and science,2014,36(3):551-557.(in Chinese)
[10]WEN S,ZENG Z,HUANG T,et al. Fuzzy modeling and synchronization of different memristor-based chaotic circuits[J]. Physics letters A,2013,377(34/36):2016-2021.
[11]RAKKIYAPPAN R,SIVASAMY R,LI X D. Synchronization of identical and nonidentical memristor-based chaotic systems via active backstepping control technique[J]. Circuits,systems,and signal processing,2015,34(3):763-778.
[12]于娜. 混沌同步技术在保密通信中的研究与应用[D]. 哈尔滨:黑龙江大学,2007.
YU N. Research and application of chaotic synchronization technology in secure communication[D]. Harbin:Heilongjiang University,2007.(in Chinese)
[13]闵富红,王恩荣. 超混沌Qi系统的错位投影同步及其在保密通信中的应用[J]. 物理学报,2010,59(11):7657-7662.
MIN F H,WANG E R. Dislocated projective synchronization of Qi hyper-chaotic system and its application to secure communication[J]. Acta Phys Sin,2010,59(11):7657-7662.(in Chinese)
[14]韩凤英. 基于混沌同步的高效数字图像加密方案[J]. 琼州学院学报,2014,21(5):30-33.
HAN F Y. High performance digital image encryption scheme based on chaotic synchronization[J]. Journal of Qiongzhou university,2014,21(5):30-33.(in Chinese)
[15]陈宁,贺小滨,桂卫华,等. 基于混沌离散序列的图像加密算法研究[J]. 上海交通大学学报,2017,51(10):1273-1280.
CHEN N,HE X B,GUI W H,et al. Research on image encryption system based on chaotic discrete sequence[J]. Journal of Shanghai jiaotong university,2017,51(10):1273-1280.(in Chinese)
[16]徐君燕,卜建荣,黄芳. 异结构混沌同步系统图像加密方法的研究[J]. 机械科学与技术,2013,32(6):899-903.
XU J Y,BU J R,HUANG F. Study on digital image encryption method based on different structure chaos synchronization system[J]. Mechanical science and technology for aerospace engineering,2013,32(6):899-903.(in Chinese)
[17]吴洁宁,王丽丹,段书凯. 基于忆阻器的时滞混沌系统及伪随机序列发生器[J]. 物理学报,2017,66(3):240-250.
WU J N,WANG L D,DUAN S K. A memristor-based time-delay chaotic systems and pseudo-random sequence generator[J]. Acta Phys Sin,2017,66(3):240-250.(in Chinese)
[18]PENG G,MIN F. Multistability analysis,circuit implementations and application in image encryption of a novel memristive chaotic circuit[J]. Nonlinear dynamics,2017,90(3):1607-1625.
[19]PENG G,MIN F. Circuit implementation,synchronization of multistability,and image encryption of a four-wing memristive chaotic system[J/OL]. Journal of electrical and computer engineering,2018[2018-04-28]. https://doi.org/10.1155/2018/8649294.

备注/Memo

备注/Memo:
收稿日期:2018-04-28.
基金项目:国家自然科学基金(61871230).
通讯联系人:闵富红,博士,教授,研究方向:非线性电路系统. E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2019-03-30