Synchronization of chaotic systems by using occasional coupling

Abstract

Nonlinear and chaotic systems are difficult to control due to their unstable and unpredictable nature. Although, much work has been done in this area, synchronization of chaotic systems still remains a worthwhile endeavor. In this thesis, a method to synchronize systems, inherently operating in a chaotic mode, by using occasional coupling is presented. We assume that a masterslave synchronizing scheme is available. This approach consists of coupling and uncoupling the drive and response systems during some alternated intervals. It is then shown how this synchronization method can be used to transmit information on a chaotic carrier. The applicability of this method will be illustrated using Lorenz system as the chaotic oscillator.