中国物理B ›› 2018, Vol. 27 ›› Issue (11): 110502-110502.doi: 10.1088/1674-1056/27/11/110502

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

A novel pseudo-random coupled LP spatiotemporal chaos and its application in image encryption

Xingyuan Wang(王兴元), Yu Wang(王宇), Siwei Wang(王思伟), Yingqian Zhang(张盈谦), Xiangjun Wu(武相军)   

  1. 1 School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China;
    2 Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;
    3 School of Information Science & Technology, Xiamen University Tan Kah Kee College, Zhangzhou 363105, China;
    4 College of Software, Henan University, Kaifeng 475004, China
  • 收稿日期:2018-07-11 修回日期:2018-08-22 出版日期:2018-11-05 发布日期:2018-11-05
  • 通讯作者: Xingyuan Wang E-mail:wangxy@dlut.edu.cn
  • 基金资助:

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

A novel pseudo-random coupled LP spatiotemporal chaos and its application in image encryption

Xingyuan Wang(王兴元)1,2, Yu Wang(王宇)2, Siwei Wang(王思伟)2, Yingqian Zhang(张盈谦)3, Xiangjun Wu(武相军)4   

  1. 1 School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China;
    2 Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;
    3 School of Information Science & Technology, Xiamen University Tan Kah Kee College, Zhangzhou 363105, China;
    4 College of Software, Henan University, Kaifeng 475004, China
  • Received:2018-07-11 Revised:2018-08-22 Online:2018-11-05 Published:2018-11-05
  • Contact: Xingyuan Wang E-mail:wangxy@dlut.edu.cn
  • Supported by:

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

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摘要：

In this paper, first, we investigate a novel one-dimensional logistic-PWLCM (LP) modulation map which is derived from the logistic and PWLCM maps. Second, we propose a novel PCLML spatiotemporal chaos in pseudo-random coupling method that can accelerate the system behavior of the fully spatial chaos. Here, because the better chaotic properties include a wide range of parameter settings and better ergodicity than a logistic map, the LP is used in PCLML as f(x). The Kolmogorov-Sinai entropy density and universality and the bifurcation diagram are employed to investigate the chaotic behaviors of the proposed PCLML model. Finally, we apply the LP and PCLML chaotic systems to image encryption to improve the effectiveness and security of the encryption scheme. By combining self-generating matrix model M and dynamic substitution box (S-Box) methods, we design a new image encryption algorithm. Numerical simulations and security analysis have been carried out to demonstrate that the proposed algorithm has a high security level and can efficiently encrypt several different kinds of images into random-like images.

关键词: logistic-PWLCM map, PCLML spatiotemporal chaos, matrix model M, dynamic S-Box, image encryption

Abstract:

In this paper, first, we investigate a novel one-dimensional logistic-PWLCM (LP) modulation map which is derived from the logistic and PWLCM maps. Second, we propose a novel PCLML spatiotemporal chaos in pseudo-random coupling method that can accelerate the system behavior of the fully spatial chaos. Here, because the better chaotic properties include a wide range of parameter settings and better ergodicity than a logistic map, the LP is used in PCLML as f(x). The Kolmogorov-Sinai entropy density and universality and the bifurcation diagram are employed to investigate the chaotic behaviors of the proposed PCLML model. Finally, we apply the LP and PCLML chaotic systems to image encryption to improve the effectiveness and security of the encryption scheme. By combining self-generating matrix model M and dynamic substitution box (S-Box) methods, we design a new image encryption algorithm. Numerical simulations and security analysis have been carried out to demonstrate that the proposed algorithm has a high security level and can efficiently encrypt several different kinds of images into random-like images.

Key words: logistic-PWLCM map, PCLML spatiotemporal chaos, matrix model M, dynamic S-Box, image encryption

中图分类号:  (Low-dimensional chaos)

  • 05.45.Ac
05.45.-a (Nonlinear dynamics and chaos)