Anticipating chaotic synchronization via act-and-wait coupling

Act-and-wait concept is utilized to design a coupling law for anticipating synchronization of chaotic systems. The time-delay coupling term in this algorithm is periodically switched on and off such that the phase space of the whole system remains finite-dimensional despite the presence of the delay. Consequently, the stability of the anticipated synchronization manifold is easily achieved, since it is definite by a finite number of Lyapunov exponents. We show that the stable synchronization regime with considerably large anticipation time can be attained even for single-input single-output systems. The results are demonstrated with the Rössler, Chua and Lorenz chaotic systems.