Multi-switching Compound Synchronization of Different Chaotic Systems with External Disturbances and Parametric Uncertainties via Two Approaches

This article deals with the multi-switching compound synchronization (MSCS) between four different chaotic systems with parametric uncertainties and external disturbances. Based on two analytical approaches viz. Lyapunov’s second method and Cardano’s method, the MSCS of three different uncertain chaotic systems (drive systems) and one uncertain chaotic system (response system) is examined. Theoretical and numerical results describe that the projected method is consistent and easy to execute for MSCS.