Specificities of Generalized Synchronization in Delayed Systems

Abstract

Specificities of the generalized synchronization mode in unidirectionally coupled delayed oscillators are studied. Four different cases of the interaction of systems characterized by different numbers of positive Lyapunov exponents are considered. It is established that the threshold for the rise of a synchronous mode strongly depends on the degree of chaoticity of interacting systems and the coupling of systems characterized by a different number of positive Lyapunov exponents gives rise to additional synchronization regions.