The Switching Fractional Order Chaotic System and Its Application to Image Encryption

被引：27
作者：
Hou, Jialin [1 ]
Xi, Rui [1 ]
Liu, Ping [1 ,2 ]
Liu, Tianliang [1 ,3 ]
机构：
[1] Agr Univ Shandong, Coll Mech & Elect Engn, Shandong Key Lab Gardening Machinery & Equipment, Tai An 271018, Shandong, Peoples R China
[2] Dalian Univ Technol, Sch Comp Sci & Technol, Dalian 116023, Peoples R China
[3] Taishan Vocat & Tech Coll, Dept Mech & Elect Engn, Tai An 271018, Shandong, Peoples R China
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2017年 / 4卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Fractional order chaotic system; image encryption; subsystem; switching; LORENZ SYSTEM; HYPERCHAOTIC CHEN; IMPULSIVE CONTROL; LIU SYSTEM; LU SYSTEMS; SYNCHRONIZATION; STABILITY; NETWORKS;
D O I：
10.1109/JAS.2016.7510127
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Many studies on fractional order chaotic systems and secure communications have been carried out, however, switching fractional order chaotic system and its application to image encryption have not been explored yet. In this paper, a new switching fractional order chaotic system is proposed, containing fractional order Chen system and the other two fractional order chaotic systems. Chaotic attractors and dynamical analysis including Lyapunov exponent, bifurcation diagram, fractal dimension, dissipation, stability and symmetry are shown firstly. After that, some circuit simulations through Multisim are presented. By controlling switch k(1) and k(2), switching among the three fractional order chaotic subsystems can be realized. Finally, we apply the switching fractional order chaotic system to image encryption using exclusive or (XOR) encryption algorithm. The encryption scheme could increase randomness and improve speed of encryption.
引用
收藏
页码：381 / 388
页数：8
相关论文
共 33 条
[1]   An Enhanced Image Encryption Algorithm Using Fractional Chaotic Systems [J].
Ahmad, Musheer ;
Shamsi, Uzair ;
Khan, Imran Raza .
3RD INTERNATIONAL CONFERENCE ON RECENT TRENDS IN COMPUTING 2015 (ICRTC-2015), 2015, 57 :852-859
[2]   Centers on center manifolds in the Lorenz, Chen and Lu systems [J].
Algaba, Antonio ;
Fernandez-Sanchez, Fernando ;
Merino, Manuel ;
Rodriguez-Luis, Alejandro J. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (04) :772-775
[3]   The Lu system is a particular case of the Lorenz system [J].
Algaba, Antonio ;
Fernandez-Sanchez, Fernando ;
Merino, Manuel ;
Rodriguez-Luis, Alejandro J. .
PHYSICS LETTERS A, 2013, 377 (39) :2771-2776
[4]   Robust synchronization of perturbed Chen's fractional-order chaotic systems [J].
Asheghan, Mohammad Mostafa ;
Beheshti, Mohammad Taghi Hamidi ;
Tavazoei, Mohammad Saleh .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :1044-1051
[5]   Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks [J].
Chen, Diyi ;
Zhang, Runfan ;
Liu, Xinzhi ;
Ma, Xiaoyi .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) :4105-4121
[6]   CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM [J].
HARTLEY, TT ;
LORENZO, CF ;
QAMMER, HK .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08) :485-490
[7]   On chaos control and synchronization of the commensurate fractional order Liu system [J].
Hegazi, A. S. ;
Ahmed, E. ;
Matouk, A. E. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (05) :1193-1202
[8]   Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system [J].
Hegazi, A. S. ;
Matouk, A. E. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1938-1944
[9]   Intelligent control of chaotic systems via self-organizing Hermite-polynomial-based neural network [J].
Hsu, Chun-Fei .
NEUROCOMPUTING, 2014, 123 :197-206
[10]   Pseudorandom sequence generator based on the Chen chaotic system [J].
Hu, HanPing ;
Liu, LingFeng ;
Ding, NaiDa .
COMPUTER PHYSICS COMMUNICATIONS, 2013, 184 (03) :765-768
1234