Anticipating the dynamics of chaotic maps

Details Anticipating the dynamics of chaotic maps Anticipating the dynamics of chaotic maps

2001-11-05

arxiv.org/abs/nlin/0111011v2

Physics Letters A 295, 39-43 (2002)

Nonlinear Sciences

Chaotic Dynamics

Uses the elsart.cls (v2000) style (included). 9 pages, including 4 figures. New version contains minor modifications to text a

Scientific paper

10.1016/S0375-9601(02)00147-0

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.

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