A novel devaney chaotic map with uniform trajectory for color image encryption

Abstract

The design of chaotic image encryption algorithms has become a hotspot. This paper first proposes a novel Devaney chaotic map with uniform trajectories to overcome the problems of weak chaotic behaviors and uneven trajectory distribution of the existing chaotic systems. We prove that our chaotic map possesses the three principal features of the Devaney definition and preserves uniform trajectory distribution through symbolic dynamics and the probability theory. In addition, simulation experiments show that our chaotic map has the advantages of fast efficiency and high security. Then, we design a color image encryption algorithm, which uses our Devaney chaotic map to generate digital chaotic pseudo-random sequences, and improves the confusion and diffusion structure of existing image encryption algorithms from the perspectives of pixels and planes. Although our algorithm does not use the hash value of plain images, it achieves excellent diffusion and confusion ability. Therefore, it avoids the failure of decryption caused by the tampering of hash value in the transmission process. Experimental results show that our image encryption algorithm can well resist probabilistic attacks and differential attacks.