COMPLETE SYNCHRONIZATION OF HYPERCHAOTIC XU AND HYPERCHAOTIC LÜ SYSTEMS VIA ACTIVE CONTROL

Abstract

This paper deploys active control for achieving complete synchronization of hyperchaotic Xu (2009) and hyperchaotic Lu (2006) systems. Specifically, this paper derives complete synchronization results for identical hyperchaotic Xu systems, identical hyperchaotic Lu systems and non-identical hyperchaotic Xu and Lu systems. The complete synchronization results have been proved using Lyapunov stability theory. Numerical simulations have been shown to validate and demonstrate the effectiveness of the complete synchronization results derived in this paper.