Adaptive function projective synchronization of unified chaotic systems with uncertain parameters

This paper addresses the function projective synchronization problem of two unified chaotic systems in the presence of unknown system parameters. Based on Lyapunov stability theory two adaptive control laws are proposed to make the states of two identical chaotic systems asymptotically synchronized according to the number of parameters. By this methods, one can achieve chaotic synchronization and identify the unknown parameters simultaneously. Numerical simulations are presented to show the effectiveness of the proposed schemes.