[1]邵书义,闵富红,李登辉,等.新型混沌系统的同步及在图像加密传输中的应用[J].南京师范大学学报(工程技术版),2015,15(01):001-7.
 Shao Shuyi,Min Fuhong,Li Denghui,et al.The Synchronization for Novel Chaotic System and ItsApplication in Image Encryption Transmission[J].Journal of Nanjing Normal University(Engineering and Technology),2015,15(01):001-7.
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新型混沌系统的同步及在图像加密传输中的应用
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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:
15卷
期数:
2015年01期
页码:
001-7
栏目:
电气与自动化工程
出版日期:
2015-03-20

文章信息/Info

Title:
The Synchronization for Novel Chaotic System and ItsApplication in Image Encryption Transmission
作者:
邵书义闵富红李登辉黄雯迪
南京师范大学电气与自动化工程学院,江苏 南京 210042
Author(s):
Shao ShuyiMin FuhongLi DenghuiHuang Wendi
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
混沌系统动力学行为同步控制图像加密传输
Keywords:
chaotic systemdynamical behaviorsynchronization controlimage encryption transmission
分类号:
TP391.9
文献标志码:
A
摘要:
提出一个新型四维四翼混沌系统,分析了参数变化时系统动力学行为的特性. 基于分数阶混沌系统稳定性理论,设计合适的非线性反馈控制器,实现了初始值不同的整数阶与其分数阶混沌系统之间的同步. 此外,利用改进的混沌掩盖通信原理,提出了一种新型图像加密传输方法,并将以上同步方案应用于图像加密传输中,在发送端使用整数阶混沌序列对图像加密传送,从接收端可以无失真地恢复出原始图像. 数值仿真证实了新混沌系统的存在性以及同步控制应用的可行性.
Abstract:
In this paper,a new four-dimensional four-wing chaotic system is proposed and its dynamic properties are investigated through numerical simulations. The different dynamic behaviors of the new system are analyzed with system parameters changed. Based on the stability theory of fractional-order chaotic system,chaotic synchronization between fractional-order chaotic system and chaotic system of integer orders is successfully completed. Furthermore,the synchronization is applied to a new image encryption transmission. The image can be concealed and recovered. Numerical simulation results prove the feasibility of the proposed method of synchronization application and the existence of the new chaotic system.

参考文献/References:

[1] Jovic B. Synchronization Techniques for Chaotic Communication Systems[M]. Berlin:Springer-Verlag,2011:135-168.
[2]刘锋,陈小钊,穆肇骊,等. 混沌系统的反馈同步及其在保密通讯中的应用[J]. 电子学报,2000,28(8):46-48.
Liu Feng,Chen Xiaozhao,Mu Zhaoli,et al. Feedback synchronization of chaotic system with application to secure communications[J]. Acta Electronica Sinica,2000,28(8):46-48.(in Chinese).
[3]邵书义,闵富红,马美玲,等. 分数阶Chua’s系统错位同步无感模块化电路实现及应用[J]. 物理学报,2013,62(13):130504.
Shao Shuyi,Min Fuhong,Ma Meiling,et al. Non-inductive modular circuit of dislocated synchronization of fractional-order Chua’s system and its application[J]. Acta Phys Sin,2013,62(13):130504.(in Chinese).
[4]Lorenz E N. Deterministic nonperiodic flow[J]. Journal of the Atmospheric Sciences,1963,20(5):130-141.
[5]R?ssler O E. An equation for continuous chaos[J]. Physics Letters A,1976,57(5):397-398.
[6]Chen G R,Ueta T. Yet another chaotic attractor[J]. International Journal of Bifurcation and Chaos,1999,9(7):1 465-1 466.
[7]Lü J H,Chen G R. A new chaotic attractor coined[J]. International Journal of Bifurcation and Chaos,2002,3(12):659-661.
[8]Lü J H,Chen G R,Cheng D Z,et al. Bridge the gap between the Lorenz system and the Chen system[J]. International Journal of Bifurcation and Chaos,2002,12(12):2 917-2 926.
[9]唐良瑞,李静,樊冰. 一个新四维自治超混沌系统及其电路实现[J]. 物理学报,2009,58(3):1 446-1 455.
Tang Liangrui,Li Jing,Fan Bing. A new four-dimensional hyperchaotic system and its circuit simulation[J]. Acta Phys Sin,2009,58(3):1 446-1 455.(in Chinese).
[10]Lu J G,Chen G R. A note on the fractional-order Chen system[J]. Chaos,Solitons and Fractals,2006,27(2006):685-688.
[11]罗明伟,罗小华,李华春. 一类四维多翼混沌系统及其电路实现[J]. 物理学报,2013,62(2):020512.
Luo Mingwei,Luo Xiaohua,Li Huachun. A family of four-dimensional multi-wing chaotic system and its circuit implementation[J]. Acta Phys Sin,2013,62(2):020512.(in Chinese)
[12]Pecora L M,Carroll T L. Synchronization in chaotic systems[J]. Physical Review Letters,1990,64(8):821-824.
[13]Si G Q,Sun Z Y. A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system[J]. Chin Phys B,2011,20(8):080505.
[14]Zhou P,Cao Y X. Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems[J]. Chin Phys B,2010,19(10):100507.
[15]Jia L X,Dai H,Hui M. Nonlinear feedback synchronization control between fractional-order and integer-order chaotic systems[J]. Chin Phys B,2010,19(11):100509.
[16]Yang L X,He W S,Liu X J. Synchronization between a fractional-order system and an integer order system[J]. Computers and Mathematics with Applications,2011,62(2011):4 708-4 716.
[17]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):7 657-7 662.
Min Fuhong,Wang Enrong. Dislocated projective synchronization of Qi hyper-chaotic system and its application to secure communication[J]. Acta Phys Sin,2010,59(11):7 657-7 662.(in Chinese).
[18]Hu M F,Xu Z Y. Adaptive projective synchronization of unified chaotic systems and its application to secure communication[J]. Chinese Physics,2007,16(11):3 231-3 237.
[19]Banerjee S,Ghosh D,Ray A,et al. Synchronization between two different time-delayed systems and image encryption[J]. A Letters Journal Exploring the Frontiers of Physics,2008,81(2):20006.

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备注/Memo

备注/Memo:
收稿日期:2014-04-16.基金项目:国家自然科学基金(51075215、51475246)、江苏省自然科学基金(BK20131402)、教育部留学回国人员科研启动基金(教外司[2012]1707号)、江苏省六大人才高峰资助课题 通讯联系人:闵富红,博士,副教授,研究方向:非线性电路与系统. E-mail:minfuhong@njnu.edu.cn
更新日期/Last Update: 2015-03-30