Adaptive synchronization of two different n-dimensional chaotic complex nonlinear systems with fully uncertain parameters

Abstract

Our main contribution in this paper is to investigate the phenomenon of adaptive complete synchronization of two different n-dimensional chaotic complex nonlinear systems with fully uncertain parameters. The idea of an adaptive control technique based on complex Lyapunov function is used to state a scheme to achieve the adaptive synchronization of chaotic attractors of these systems. For illustration, this scheme is applied to two different chaotic complex Lorenz and Lü systems. The adaptive control functions and the parameters estimation laws are calculated analytically to show that the error dynamical system is globally stable. Numerical simulations are computed to demonstrate the effectiveness of the analytical expressions of adaptive controllers.