Non Linear Dynamical Systems and Chaos Synchronization

Abstract

In this paper, the authors study chaos synchronization of chaotic systems, which can exhibit a two scroll attractor for different parameter values via linear feedback control. First, chaos synchronization of three dimensional systems is studied and ‘generalized non-linear dynamical systems’ are analyzed. The considered synchronization criterion consists of identical drive and response systems coupled with linear state error variables. As a consequence, the authors have proposed some theorems for synchronization. This paper features sufficient synchronization criteria for the linear coupled generalized non-linear dynamical systems obtained in an explicit algebraic form and the new synchronization criteria for some typical chaotic systems. Finally, the optimized criteria are applied to explain the Rossler system.