Adaptive modified function projective synchronization of general uncertain chaotic complex systems

Abstract

This paper discusses the modified function projective synchronization (MFPS) of general chaotic complex systems described by a unified mathematical expression. Based on the Lyapunov stability theory, an adaptive controller is designed to synchronize two general uncertain chaotic complex systems in the sense of MFPS and some parameter update laws for estimating unknown parameters of the systems are also given. Moreover, the control coefficients can be automatically adapted to updated laws. Numerical simulations are performed to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.