Combination synchronization of hyperchaotic complex systems a vector norm based approach

This paper investigates the combination synchronization problem of three hyperchaotic complex systems. Using a vector norm based approach, an active control scheme is proposed to achieve combination synchronization between the Lorenz, Lü and Dadras hyperchaotic complex systems. The stabilization of the synchronization error system is attained by applying the Born and Gentina criterion to the characteristic matrix of the system, expressed in arrow form. The effectiveness of the proposed scheme is confirmed by means of numerical simulations.