The Generalized Projective Synchronization of Hyperchaotic Lorenz and Hyperchaotic Qi Systems via Active Control

This study investigates the active controller design for Generalized Projective Synchronization (GPS) of identical Hyperchaotic Lorenz Systems, identical Hyperchaotic Qi Systems and Non-Identical Hyperchaotic Lorenz and Hyperchaotic Qi Systems. The GPS synchronization results for the Hyperchaotic 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 Hyperchaotic Systems addressed in this study. Numerical simulations are shown to demonstrate the effectiveness of the synchronization results derived in this study for the Hyperchaotic Systems.