Generalized Multisynchronization by Means of a Family of Dynamical Feedbacks

Abstract

In this chapter, we study the problem of generalized multisynchronization (GMS) of multiple decoupled chaotic systems under the master–slave configuration. From the viewpoint of differential algebra, we propose a family of transformations in order to achieve GMS for the whole slave family. The family of transformations is generated via the family of differential primitive elements, which are linear combinations of states and inputs of the families of master systems and slave systems with coefficients in a differential field. Finally, we construct multiple dynamical controls to reach the GMS. The effectiveness of the methodology proposed is illustrated by means of numerical simulations.