Fractional Order Lorenz Attractor: Numerical Solution And Its Novel Application to Image Encryption

摘要

For any non-linear fractional-order differential equation, the numerical simulation is a good way to approximate the trajectory of such systems. Fractional-order chaotic attractors is given much attention in the current research because of its wide range of applications. In this paper, we propose a new numerical solution for the fractional-order Lorenz attractor. As an application of the fractional-order Lorenz attractor, we propose a novel image encryption scheme using the fractional order Lorenz attractor. The image is viewed as a 3D cube which demonstrates that the confusion and diffusion can be integrated as one process. The fractional-order Lorenz attractor is used directly for image encryption through the generation of confusion matrix. The proposed scheme is demonstrated to be secure and efficient against the commonly known attacks.