Synchronization of chaotic flows with variable nonlinear hyperbolic functions via hybrid feedback control

Abstract

The YU-WANG autonomous chaotic system is a three-dimensional system that possesses a quadratic cross-product and a hyperbolic nonlinear term in its system equations. The resulting complex dynamics formed by these nonlinearities can be manipulated to evolve two- and four-wing attractors which form intricate attractors with distinct dynamic properties. This paper presents the synchronization of the system with identical and non-identical hyperbolic nonlinear terms using hybrid feedback control techniques. The results of the various simulations show that the coupled systems are mildly susceptible to varying hyperbolic nonlinearities using the synchronization scheme. However, the folding trajectories are highly sensitive to parametric perturbation in the controller-deactivated architecture of the original system.. The synchronized signals holding possibilities of applications in secure communication system modelling and design.