A novel shuffling technique based on fractional chaotic maps

被引:22
作者
Bai, Yun-Ru [1 ,2 ]
Baleanu, Dumitru [3 ,4 ]
Wu, Guo-Cheng [1 ]
机构
[1] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China
[2] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
来源
OPTIK | 2018年 / 168卷
基金
中国博士后科学基金;
关键词
Image encryption technique; Shuffling technique; Fractional chaotic series; Statistical analysis; OPTICAL-IMAGE ENCRYPTION; SPATIOTEMPORAL CHAOS; LOGISTIC MAP; SYNCHRONIZATION; SYSTEM; TRANSFORM;
D O I
10.1016/j.ijleo.2018.04.054
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The results are analyzed in comparison with the classical logistic map. Since the employed fractional chaotic map holds complicated dynamics behavior, the encryption result is highly secure. Moreover, by experimental and statistical analysis, we demonstrate that the encryption performance is better than the results in literature. (C) 2018 Published by Elsevier GmbH.
引用
收藏
页码:553 / 562
页数:10
相关论文
共 33 条
  • [1] On Riemann and Caputo fractional differences
    Abdeljawad, Thabet
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1602 - 1611
  • [2] Agarwal Ravil P, 2000, DIFFERENCE EQUATIONS
  • [3] Atici FM, 2009, P AM MATH SOC, V137, P981
  • [4] Bohner M., 2003, Advances in Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-0-8176-8230-9
  • [5] A symmetric image encryption scheme based on 3D chaotic cat maps
    Chen, GR
    Mao, YB
    Chui, CK
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 21 (03) : 749 - 761
  • [6] Chaos synchronization of the fractional Lu system
    Deng, WH
    Li, CP
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 353 (1-4) : 61 - 72
  • [7] Synchronization of chaotic fractional Chen system
    Deng, WH
    Li, CP
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (06) : 1645 - 1648
  • [8] Image encryption based on a new total shuffling algorithm
    Gao, Tiegang
    Chen, Zengqiang
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (01) : 213 - 220
  • [9] Chaos-based image encryption algorithm
    Guan, ZH
    Huang, FJ
    Guan, WJ
    [J]. PHYSICS LETTERS A, 2005, 346 (1-3) : 153 - 157
  • [10] Huang LL, 2016, ROM J PHYS, V61, P1172