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Anticipating the dynamics of chaotic maps

Hernandez-Garcia, Emilio; Masoller, Cristina; Mirasso, Claudio R.
Physics Letters A 295, 39-43 (2002)

We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output reinjected after a certain delay. For a class of simple maps, we give analytic conditions for the stability of the synchronized solution, and present results of numerical simulations of coupled 1D Bernoulli-like maps and 2D Baker maps, that agree well with the analytic predictions. Keywords: Chaos synchronization, Anticipated synchronization PACS2001: 05.45.Xt,05.45.Gg