Skip to main content
SpringerLink
Log in

A new image encryption algorithm based on two-dimensional spatiotemporal chaotic system

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

In this paper, a new image encryption algorithm based on the two-dimensional spatiotemporal chaotic system is proposed.This system mixes linear neighborhood coupling and the nonlinear chaotic map coupling of lattices, and it has more cryptographic features in dynamics than the system of coupled map lattices does. The two-dimensional coupled map lattices (2DCML) system is only a special case in this chaotic system. In addition, bit-level permutation is employed to strengthen security of the cryptosystem. Simulations have been carried out, and the results demonstrate that the proposed algorithm has properties of large key space, high sensitivity to key, strong resisting attack. So, it is more secure and effective algorithm for encryption of digital images.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Khan M, Shah T (2015) An efficient chaotic image encryption scheme. Neural Comput Appl 26(5):1137–1148

    Article  Google Scholar 

  2. Liu H, Kadir A, Sun X (2017) Chaos-based fast color image encryption scheme with true random number keys from environmental noise. IET Image Process 11(5):324–332

    Article  Google Scholar 

  3. Bagheri P, Shahrokhi M (2016) Neural network-based synchronization of uncertain chaotic systems with unknown states. Neural Comput Appl 27:945–952

    Article  Google Scholar 

  4. Li C, Lin D, Lü J, Hao F (2017) Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography. IEEE Multimedia arXiv:1711.01858v2

  5. Belazi A, El-Latif A, Diaconu A, Rhouma R, Belghith S (2017) Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms. Opt Lasers Eng 88:37–50

    Article  Google Scholar 

  6. Nosrati Komeil, Volos Christos, Azemi Asad (2017) Cubature Kalman filter-based chaotic synchronization and image encryption. Signal Process-Image 58:35–48

    Article  Google Scholar 

  7. Liu H, Kadir A, Sun X, Li YL (2018) Chaos based adaptive double-image encryption scheme using hash function and S-boxed. Multimed Tools Appl 77(1):1391–1407

    Article  Google Scholar 

  8. Khan M, Shah T, Batool SI (2016) Construction of S-box based on chaotic Boolean functions and its application in image encryption. Neural Comput Appl 27(3):677–685

    Article  Google Scholar 

  9. Xu L, Gou X, Li Zh, Li J (2017) A novel chaotic image encryption algorithm using block scrambling and dynamic index based diffusion. Opt Lasers Eng 91:41–52

    Article  Google Scholar 

  10. Coulibaly S, Clerc MG, Selmi F, Barbay S (2017) Extreme events following bifurcation to spatiotemporal chaos in a spatially extended microcavity laser. Phys Rev A 95(2):023816

    Article  Google Scholar 

  11. Liu H, Kadir A (2015) Asymmetric color image encryption scheme using 2D discrete-time map. Signal Process 113:104–112

    Article  Google Scholar 

  12. Kanso A, Ghebleh M (2015) A structure-based chaotic hashing scheme. Nonlinear Dyn 81(1–2):27–40

    Article  MathSciNet  Google Scholar 

  13. Seyedzadeh SM, Norouzi B, Mosavi MR (2015) A novel color image encryption algorithm based on spatial permutation and quantum chaotic map. Nonlinear Dyn 81(1–2):511–529

    Article  MathSciNet  Google Scholar 

  14. Wang XY, Zhang HL, Bao XM (2016) Color image encryption scheme using CML and DNA sequence operations. Biosystems 144:18–26

    Article  Google Scholar 

  15. Sinha S (2002) Random coupling of chaotic maps leads to spatiotemporal synchronization. Phys Rev E 66:016209

    Article  MathSciNet  Google Scholar 

  16. Mondal A, Sinha S, Kurths J (2008) Rapidly switched random links enhance spatiotemporal regularity. Phys Rev E 78:066209

    Article  Google Scholar 

  17. Kohar V, Ji P, Choudhary A, Sinha S, Kurths J (2014) Synchronization in time-varying networks. Phys Rev E 90(2):022812

    Article  Google Scholar 

  18. Nag M, Poria S (2016) Synchronization in a network of delay coupled maps with stochastically switching topologies. Chaos Soliton Fract 91(33):9–16

    Article  MathSciNet  Google Scholar 

  19. Zhang YQ, Wang XY (2014) Spatiotemporal chaos in mixed linear-nonlinear coupled logistic map lattice. Phys A 402(10):104–118

    MathSciNet  MATH  Google Scholar 

  20. Zhang YQ, Wang XY (2013) Spatiotemporal chaos in Arnold coupled logistic map lattice. Nonlinear Anal-Model 18(4):526–541

    Article  MathSciNet  Google Scholar 

  21. Ercan S, Cahit C (2011) Algebraic break of image ciphers based on discretized chaotic map lattices. Inf Sci 181:227–233

    Article  MathSciNet  Google Scholar 

  22. Machkour M, Saaidi A, Benmaati ML (2015) A novel image encryption algorithm based on the two-dimensional logistic map and the Latin square image cipher. 3D Res 6(4):36–54

    Article  Google Scholar 

  23. Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps. Int J Bifurcat Chaos 8:1259

    Article  MathSciNet  Google Scholar 

  24. Xie EY, Li C, Yu S (2016) On the cryptanalysis of Fridrich’s chaotic image encryption scheme. Signal Process 132:150–154

    Article  Google Scholar 

  25. Zhang YQ, Wang XY (2015) A new image encryption algorithm based on non-adjacent coupled map lattices. Appl Soft Comput 26:10–20

    Article  Google Scholar 

  26. Kaneko K (1989) Spatiotemporal chaos in one- and two-dimensional coupled map lattices. Physica D 37:60–82

    Article  MathSciNet  Google Scholar 

  27. Kaneko K (1993) Theory and application of coupled map lattices, Chapter 1. Wiley

  28. Zhang W, Wong KW, Yu H, Zhu ZL (2013) A symmetric color image encryption algorithm using the intrinsic features of bit distributions. Commun Nonlinear Sci Numer Simul 18:584–600

    Article  MathSciNet  Google Scholar 

  29. Zhu ZL, Zhang W, Wong KW, Yu H (2011) A chaos-based symmetric image encryption scheme using a bit-level permutation. Inf Sci 181:1171–1186

    Article  Google Scholar 

  30. Li C (2016) Cracking a hierarchical chaotic image encryption algorithm based on permutation. Signal Process 118:203–210

    Article  Google Scholar 

  31. Kar M, Mandal MK, Nandi D (2016) Bit-plane encrypted image cryptosystem using chaotic, quadratic, and cubic maps. Iete Tech Rev 33(6):651–661

    Article  Google Scholar 

  32. Praveenkumar P, Amirtharajan R, Thenmozhi K, Rayappan JBB (2017) Fusion of confusion and diffusion: a novel image encryption approach. Telecommun Syst 65(1):65–78

    Article  Google Scholar 

  33. Li C, Lo KT (2011) Optimal quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks. Signal Process 91(4):949–954

    Article  Google Scholar 

  34. Shibata H (2001) KS entropy and mean Lyapunov exponent for coupled map lattices. Phys A 292:182–192

    Article  MathSciNet  Google Scholar 

  35. Zhang YQ, Wang XY (2014) A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice. Inf Sci 273(8):329–351

    Article  Google Scholar 

  36. Li C, Lin D, Lü J (2017) Cryptanalyzing an image-scrambling encryption algorithm of pixel bits. IEEE Multimedia 24(3):64–71

    Article  Google Scholar 

  37. Chai XL, Gan ZH, Yuan K (2017) An image encryption scheme based on three-dimensional Brownian motion and chaotic system. Chinese Phys B 26(2):020504

    Article  Google Scholar 

  38. Zahmoul R, Ejbali R, Zaied M (2017) Image encryption based on new Beta chaotic maps. Opt Lasers Eng 96:39–49

    Article  Google Scholar 

  39. Lian S, Sun J, Wang Z (2005) A block cipher based on a suitable use of the chaotic standard map. Chaos Soliton Fract 26(1):117–129

    Article  Google Scholar 

  40. Özkaynak F (2018) Brief review on application of nonlinear dynamics in image encryption. Nonlinear Dyn 92(2):305–313

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by the Program for New Century Excellent Talents in Fujian Province University, Zhangzhou Science and Technology Project (No.ZZ2018J23), the Natural Science Foundation of Fujian Province of China (No.2018J01100), National Natural Science Foundation of China (Nos: 61672124, 61173183, and 61370145), Program for Liaoning Excellent Talents in University (No:LR2012003), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ20170203).

Author information

Authors and Affiliations

  1. City Institute, Dalian University of Technology, Dalian, 116600, China

    Yi He

  2. School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou, 363105, China

    Ying-Qian Zhang

  3. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Xing-Yuan Wang

  4. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116034, China

    Xing-Yuan Wang

Authors
  1. Yi He
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ying-Qian Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xing-Yuan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ying-Qian Zhang.

Ethics declarations

Conflict of interest

We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, and there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, this manuscript.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

He, Y., Zhang, YQ. & Wang, XY. A new image encryption algorithm based on two-dimensional spatiotemporal chaotic system. Neural Comput & Applic 32, 247–260 (2020). https://doi.org/10.1007/s00521-018-3577-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-018-3577-z

Keywords

Search

Navigation