Active Controller Design for Generalized Projective Synchronization of Four-Scroll Chaotic Systems

This study investigates the active controller design for Generalized Projective Synchronization (GPS) of identical Liu-Chen 4-scroll chaotic systems, identical Lu-Chen-Cheng 4-scroll chaotic systems and non-identical Liu-Chen and Lu-Chen-Cheng 4-scroll chaotic systems. The GPS synchronization results for the 4-scroll chaotic systems have been derived using the active control method and established using Lyapunov stability theory. Since, the Lyapunov exponents are not required for these calculations, the active control method is a very effective and convenient method for achieving Generalized Projective Synchronization (GPS) of the 4-scroll chaotic systems addressed in this study. Numerical simulations are presented to demonstrate the effectiveness of the synchronization results derived in this study for the 4-scroll chaotic systems.