An Error Control-Blended New Design for an Inverse Discrete Chaotic Synchronization System

Abstract Discrete chaotic synchronization is crucial in secure communication. Studies on the design of a discrete chaotic system mainly depend on the system. Some discrete chaotic systems cannot synchronize as required. In this study, we proposed a new algorithm blended with error control for designing an inverse discrete chaotic synchronization system. Based on the eigenvalues of the synchronization error system, the coefficient matrix of the discrete chaotic system was inversely controlled for precisely controlling the positive Lyapunov exponents in the system. The results indicated that the error control-blended inverse discrete chaotic synchronization system had good chaotic characteristics and high reliability and flexibility.