Compound-combination anti-synchronization of chaotic dynamical system with external disturbances

This manuscript investigates compound-combination anti-synchronization of five jerk chaotic systems. A few sufficient conditions have been derived for achieving the synchronization successfully. Further, appropriate controllers have been designed using Lyapunov stability theory to guarantee the stability of the proposed scheme. Subsequently, the advantages of compound-combination synchronization have been explored for a time-delay jerk system. A rigorous theoretical analysis has been incorporated to depict several aspects of system and considered synchronization. In encryption systems, the inherent complexity can provide a promising approach for enhancing the security of encrypted messages. Using the impulsive instants as the primary design parameters, impulsive control theory provides a framework for stabilization. For local asymptotic stability under periodic impulses, a Lyapunov based necessary condition is established. Numerical simulations are performed to demonstrate the effectiveness and feasibility of the proposed scheme.