A hyperchaotic image encryption scheme based on the triple dislocation of the Liu and Lorenz system

Abstract

This paper proposes a novel color image encryption scheme of Liu Lorenz-XOR Zigzag Arnold (LL-XZA) encryption algorithm. Firstly, to prove that the three-dimensional(3D) Liu system and the four-dimensional(4D) Lorenz system are in a hyperchaotic state, we performed the visual analysis of their key parameters, such as the Lyapunov exponent, bifurcation diagram, attractor, Poincare cross-section diagram and initial value sensitivity. Then, we adopt the 3D Liu hyperchaotic system as the primary hyperchaotic mapping scheme of the color image. The 4D Lorenz hyperchaotic system is discretized by the Runge–Kutta method to generate a pseudorandom number sequence of the control parameter with stronger randomicity. Furthermore, XOR, 3D Zigzag transformation, and 3D Arnold transformation are reset to construct the encryption scheme. Finally, we explored the security performance of the proposed scheme with the RGB grayscale histogram, pixel correlation, information entropy by color image simulation. The results verified that the LL-XZA encryption algorithm can significantly improve the color image security performance and has superiorities in stable encryption effect, visual security, and robustness.