Dynamic long-term anticipation of chaotic states - art. no. 014102

Introducing a short time delay into the coupling of two synchronizing chaot ic systems, it was shown recently that the driven system may anticipate the driving system in real time. Augmenting the phase space of the driven syst em, we accomplish anticipation times that are multiples of the coupling del ay time and exceed characteristic time scales of the chaotic dynamics. The stability properties of the associated anticipatory synchronization manifol d in certain cases turn out to be the same as for identically synchronizing oscillators.