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Phys Rev Lett. 2008 Oct 10;101(15):154102. Epub 2008 Oct 9.

Using synchronization for prediction of high-dimensional chaotic dynamics.

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  • 1Institute for Research in Electronic and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.

Abstract

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show that synchronization of a numerical model to experimental measurements provides a new way to assimilate data and forecast the future of this time-delayed high-dimensional system. For this system, which has a feedback time delay of 22 ns, we show that one can predict the time series for up to several delay periods, when the dynamics is about 15 dimensional.

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