Backstepping Projectivesynchronization Scheme Andadaptive Function Projectivesynchronization Scheme Onchaotic Dumbell Satellitemodel : A Comparative Study

In this paper, we have carried out Projective Synchronization(PS) using Backstepping Design and Function Projective Synchronization(FPS) by Adaptive Control Scheme between two identical chaotic systems evolving from different initial conditions. The first method is applied when the two systems are certain in nature whereas when the systems contain uncertain time-varying parameters, second method is found to be successful. Further, comparing the two synchronization phenomena, FPS is a more general form of PS. These methods are applied to a model of chaotic dumbell satellite which is under periodic external disturbances and numerical simulations are carried out which confirm our analytical findings.