Chaos synchronization of nonlinear dynamical systems via a novel analytical approach

Abstract

This paper deals with the synchronization between two non-identical 4-D hyperchaotic systems. The nonlinear control technique is used for synchronization. The stability analysis of the error dynamics system is done by (i) Lyapunov's second method and (ii) Cardano's method. Four different expressions of the controller are presented in the paper and a comparison between the two methods are given. We notice that the Cardano's method is better than the Lyapunov approach. Finally, theoretical and numerical simulations are given to illustrate and verify the results. Keywords: Complete synchronization, Modified hyperchaotic Pan system, Hyperchaotic Liu system, Lyapunov's second method, Cardano's method, Nonlinear control strategy