Fractional two-dimensional discrete chaotic map and its applications to the information security with elliptic-curve public key cryptography
Zeyu Liu, Xia Tiecheng, Jinbo Wang · Journal of Vibration and Control · 2017
A novel fractional two-dimensional triangle function combination discrete chaotic map is proposed by use of the discrete fractional calculus. The chaos behaviors are then discussed when the difference order is a fractional one. The bifurcation diagrams, the largest Lyapunov exponent and the phase portraits are displayed, especially, the elliptic curve public key cryptosystem is used in color image encryption algorithm.