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

作　　者：Xingyuan Wang Yu Wang Siwei Wang Yingqian Zhang Xiangjun Wu 王兴元;王宇;王思伟;张盈谦;武相军(1 School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China 2Faculty 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)

机构地区：[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

出　　处：《Chinese Physics B》2018年第11期419-429,共11页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61672124,61370145,and 61173183);the Password Theory Project of the13th Five-Year Plan National Cryptography Development Fund,China(Grant No.MMJJ20170203);the Program for New Century Excellent Talents in Fujian Province University;the Natural Science Foundation of Fujian Province of China(Grant No.2018J01100)

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.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 

分 类 号：O4[理学—物理]