The Synchronized Dynamics of Complex Systems

ISBN: 9780444527431 出版年：2008 页码：259 Boccaletti, Stefano Elsevier Science_RM

Publisher Summary This chapter presents the case of two coupled identical systems. The chapter describes the first historical studies on complete synchronization (CS) phenomena of coupled chaotic systems, both for low and for high dimensional situations, and discusses the relevant problem of assessing the stability conditions for the synchronization manifold. The chapter discusses the case of nonidentical systems and summarizes the novel synchronization regimes that arise in this context. The chapter focuses on the transitional behaviors from nonsynchronized to synchronized states. It describes a situation that is frequently encountered in real system. The chapter discusses the case of distributed and extended systems. The chapter presents the description of large ensembles of chaotic units and provides an overview of synchronization effects in coupled continuous space-extended systems. The chapter also describes the synchronization processes emerging in complex networks of dynamical units.