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arXiv · 0809.3777

Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

Adam B. Cohen·Bhargava Ravoori·Thomas E. Murphy·Rajarshi Roy
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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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Adam B. Cohen, Bhargava Ravoori, Thomas E. Murphy, Rajarshi Roy. 2008-09-22. Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics. https://doi.org/10.1103/physrevlett.101.154102

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