Siberian Federal University

In recent years, there has been great interest shown in the literature in the study of chaotic dynamical systems. In this paper, an adaptive control scheme has been introduced to achieve syn- chronization between two different fractional-order hyperchaotic systems with unknown parameters. By using rigorous techniques of fractional calculus, the controller has been designed based on Lyapunov stability theory. The adaptive hybrid synchronization between fractional-order hyperchaotic Lorenz and Chen systems has evolved to illustrate the constructed synchronization scheme. In order to create high security for signal transmission, an application of synchronization in secure communication has been performed. Computer simulations were carried out to validate the theoretical results derived from this study