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Chin. Phys. B, 2012, Vol. 21(5): 050506    DOI: 10.1088/1674-1056/21/5/050506
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Image encryption based on a delayed fractional-order chaotic logistic system

Wang Zhena,Huang Xiab,Li Ninga,Song Xiao-Nac
1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
2. Key Laboratory of Robotics and Intelligent Technology, College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
3. College of Electronic and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China
Abstract  A new image encryption scheme is proposed based on a delayed fractional-order chaotic logistic system. In the process of generating a key stream, the time-varying delay and fractional derivative are embedded in the proposed scheme to improve the security. Such a scheme is described in detail with security analyses including correlation analysis, information entropy analysis, run statistic analysis, mean-variance gray value analysis, and key sensitivity analysis. Experimental results show that the newly proposed image encryption scheme possesses high security.
Keywords:  image encryption      fractional-order chaotic logistic system      delay     
Received:  09 October 2011      Published:  01 April 2012
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Vx (Communication using chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61004078 and 60971022), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2009GQ009 and ZR2009GM005), the China Postdoctoral Science Foundation, and the Special Funds for Postdoctoral Innovative Projects of Shandong Province, China.

Cite this article: 

Wang Zhen,Huang Xia,Li Ning,Song Xiao-Na Image encryption based on a delayed fractional-order chaotic logistic system 2012 Chin. Phys. B 21 050506

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