Synchronization of high-order oscillators by observer design with application to hyperchaos-based cryptography

The aim of this paper is to make a contribution in the context of both hyperchaos synchronization and cryptography. The approach illustrated herein, which exploits the concept of observer from system theory, is at first applied for synchronizing via a scalar signal two recent examples of high-order oscillators, characterized by several positive Lyapunov exponents. Successively, an example of hyperchaos-based cryptography is illustrated. The advantages of the proposed tool are discussed in detail. In particular, the utilization of both synchronization of complex dynamics and cryptography seems to make a contribution to the development of communication systems with higher security.