Image Encryption Algorithm Based on a Four-dimensional Memristor Hyperchaotic System
YAN Shaohui, GU Binxiana, SONG Zhenlonga, SHI Wanlina
a. College of Physics and Electronic Engineering;b. Engineering Research Center of Gansu Province for Intelligent Information Technology and Application, Northwest Normal University, Lanzhou 730070, China
Abstract The image encryption algorithm based on low dimensional chaotic system has the problems of the key space small and the security not high. In this paper, an improved four-dimensional Lorenz dissipative hyperchaotic system is constructed by introducing a cubic smooth memristor model. The dynamic characteristics of the improved system such as phase portraits, dissipation, equilibrium stability, Lyapunov exponent, and bifurcation are investigated, it is proved that the system has good dynamic characteristics and chaotic attractor. Therefore, a chaotic sequence encryption algorithm based on Hash algorithm is proposed. By histogram, key space analysis,robust analysis and other verifications show that the image encryption algorithm has higher key space and can resist brute-force attack.
YAN Shaohui,GU Binxian,SONG Zhenlong, et al. Image Encryption Algorithm Based on a Four-dimensional Memristor Hyperchaotic System[J]. Complex Systems and Complexity Science,
2023, 20(2): 43-51.
