Adaptive projective synchronization of unified chaotic systems and its application to secure communication

In this paper, a simple adaptive linear feedback control method is proposed for controlling the scaling factorbetween two coupled unified chaotic systems to a desired value, based on the invariance principle of differential equations.Under this control strategy, one can arbitrarily select the scaling factor. Numerical simulations are given to supportthe effectiveness of the proposed method and show the robustness against noise. Furthermore, a secure communicationscheme based on the adaptive projective synchronization of unified chaotic systems is presented and numerical simulationshows its feasibility.