中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50506-050506.doi: 10.1088/1674-1056/21/5/050506

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Image encryption based on a delayed fractional-order chaotic logistic system

王震1,黄霞2,李宁1,宋晓娜3   

  1. 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
  • 收稿日期:2011-10-09 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    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.

Image encryption based on a delayed fractional-order chaotic logistic system

Wang Zhen(王震)a), Huang Xia(黄霞) b)†, Li Ning(李宁)a), and Song Xiao-Na(宋晓娜)c)   

  1. a. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
    b. Key Laboratory of Robotics and Intelligent Technology, College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
    c. College of Electronic and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China
  • Received:2011-10-09 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    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.

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摘要： 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.

关键词: image encryption, fractional-order chaotic logistic system, delay

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.

Key words: image encryption, fractional-order chaotic logistic system, delay

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Vx (Communication using chaos)