Linear and nonlinear generalized synchronization of autonomous chaotic systems

Abstract

The generalized synchronization of autonomous chaotic systems is investigated. A new approach is proposed based on the modified state observer method and the pole placement technique, which have a wide scope of applications. The linear and nonlinear generalized synchronizations of autonomous chaotic systems are achieved by using the proposed method. According to the state observer theory, some sufficient conditions of global asymptotic generalized synchronization between the drive and response systems are obtained. Numerical simulations further illustrate the effectiveness of the proposed scheme.