Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

Details Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

2008-09-22

arxiv.org/abs/0809.3777v1

Phys. Rev. Lett. 101, 154102 (2008).

Nonlinear Sciences

Chaotic Dynamics

10 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.154102

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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