Simple Model of Synchronized System for the Chaotic-Masked Communication

Abstract

In this paper the simplest form of the compound dynamical system is considered, i.e. the second-order subsystem homogeneously synchronized by the third-order autonomous subsystem where the synchronized block is identical to a part of the synchronizing block. Simplified design formulas are defined for the case of a stable synchronized subsystem and arbitrarily chosen dynamical behaviour of the whole system including any type of chaos. The resultant state equations and the corresponding integrator-based circuit models are shown. Their utilization in chaotic-masked signal communications is suggested.