A New Chaos Synchronization Criterion for Discrete Dynamical Systems

In this paper, we propose a simple method for chaos synchronization in discrete-time, based on new criterion for stability. This criterion implying the Lyapunov stabilization criterion, and is applicable to some typical chaotic systems. Keywords: Chaos synchronization, dynamical systems, new criterion, discrete-time, Lyapunov stability 1 Introduction During the last decade, synchronization of chaotic systems has received a great deal of attention among scientists from various research …elds, due to the variety of important applications [8, 11]. Various methods and techniques [3, 4, 5] have been developed, and many types of synchronization have been presented [9, 10, 12, 13, 14] and their main attention was focused on the synchronization in continuous-time systems. However, many models mathematics of physical process, chemical , biology and ecology are given by discrete dynamical systems. For this reason there are demand to develop methods, and e¤ective techniques for discrete chaos synchronization.