Adaptive Modified Function Projective Synchronization with Known or Unknown Parameters

This paper investigates a new type of synchronization phenomenoniquestmodified function projective synchronization, which means that the drive and response systems are synchronized up to a desired scale matrix of function. By adaptive control scheme, the modified function projective synchronization of Lorenz system and Newton-Leipnik system with known and unknown parameters are investigated, respectively. Numerical simulations are performed to verify and illustrate the analytical results.