Time-Delay Concealment in a Three-Dimensional Electro-Optic Chaos System

Abstract

A three-dimensional (3D) chaotic system with/without time delay based on electro-optic nonlinear devices is proposed. The dynamical properties of the system are demonstrated using the bifurcation diagram, and the dynamical complexity is quantified by the permutation entropy. Moreover, when a time delay module is added to the system model, the security performance is analyzed via the autocorrelation function, delayed mutual information, and permutation information analysis. Numerical simulations show that the time-delay signature can be concealed by the system itself without any additional operations. The proposed 3D chaotic oscillator has potential applications in secure communication, random number generation, and chaos computing.