A Novel Framework for Synchronizing via Scalar Signal Hyperchaotic Systems with One or Several Nonlinearities

Abstract

In this paper a novel framework for synchronizing hyperchaotic systems with one or several nonlinearities is presented. The proposed technique exploits observer design and time-division multiplexing of the transmitted signal. A remarkable feature of the approach is that only a scalar signal is required for achieving hyperchaos synchronization. Simulation results are carried out for eighth order circuits with one nonlinearity as well as sixth order circuits with two nonlinearities.