Synchronization of N different hyperchaotic systems

This study addresses the synchronization of N different hyperchaotic systems. Simple robust controllers with state variable error feedback and nonlinear compensating mechanisms are designed, such that the states of N different hyperchaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied. The hyperchaotic Lorenz system, the hyperchaotic Liu system and the hyperchaotic Rossler system are taken as examples, numerical simulations and theoretical analysis show that the controller is effective and feasible.