| We analyze anticipating synchronization in chaotic systems with time-delay coupling. Two algorithms for extending the prediction horizon are considered. One of them is based on design of a suitable coupling matrix compensating the phase-lag in the time-delay feedback term of the slave system. The second algorithm extends the first by incorporating in the coupling law an information from many previous states of the master and slave systems. We demonstrate an efficacy of both algorithms with the simple dynamical model of coupled unstable spirals as well as with the coupled Roessler systems. The maximum prediction time attained for the Roessler system is equal to the characteristic period of chaotic oscillations. |
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