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Anticipating the dynamics of chaotic maps

2002; Elsevier BV; Volume: 295; Issue: 1 Linguagem: Inglês

10.1016/s0375-9601(02)00147-0

1873-2429

Emilio Hernández‐García, Cristina Masoller, Claudio R. Mirasso,

Nonlinear Dynamics and Pattern Formation

We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output re-injected 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.