Estimating parameters by anticipating chaotic synchronization.

Anticipating chaotic synchronization based parameter estimation of chaotic system is investigated. We propose a method to estimate the unknown parameters of the interested chaotic system even if only a scalar time series is available. Although the Krasovskii-Lyapunov functional method often results in delay-independent stability condition, stability of the synchronization manifold usually relates to time delay. We analyze the stability of anticipating synchronization based parameter estimation numerically. Series of driven systems are used to increase the anticipation time, however, result in longer time to estimate the unknown parameters. These results are also confirmed by numerical simulations.

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