Generalized Combination Synchronization of Three Different Dimensional Fractional Chaotic and Hyperchaotic Systems Using Three Scaling Matrices

Abstract

In this paper, we present a new approach to investigate generalized combination synchronization (GCS) of three different dimensional fractional chaotic and hyperchaotic systems by using three scaling matrices. By exploiting the fractional Lyapunov theorem and a new property of Caputo fractional derivative, an active controller is designed to confirm the achievement of the desired synchronization. Finally, in order to prove the reliability of the theoretical results obtained, we present two numerical examples.