A general method for modified function projective lag synchronization in chaotic systems

The modified function projective lag synchronization (MFPLS) is proposed in this Letter, in which the states of two chaotic systems are asymptotically lag synchronized up to a desired scaling function matrix. Based on Lyapunov stability theory, a general method of MFPLS is investigated. The scheme is successfully applied to two groups examples, which are the MFPLS between Lorenz system and Lü system, and two identical hyper-chaotic Chen system. Corresponding numerical simulations are performed to verify and illustrate the analytical results.