Abstract: We have realized Henon synchronization via APD synchronization, in which we acquired synchronization of identical systems. The nonsynchronization of unidentical systems makes the method potentially useful in secure communication. Because chaos synchronization by coupling continuously is not easy, we realized Henon synchronization by occasional coupling synchronization. As long as the synchronization phases exceed the critical value, synchronizing Henon mapping by occasional coupling can be obtained. The same results have also been achieved by synchronizing Henon-like.

Key words: Henon mapping, Lyapunov exponent, Henon-like mapping, synchronizing, active-passive decomposition