Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

Published/Posted: October 10, 2008

Authors: Cohen, A. B.; Ravoori, B.; Murphy, T. E.; Roy, R.

DOI: 10.1103/PhysRevLett.101.154102

arXiv: 0809.3777

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.

Citation:
A. B. Cohen, B. Ravoori, T. E. Murphy and R. Roy, "Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics", Phys. Rev. Lett. 101(26) 154102 (2008)
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Manuscript: Cohen_PRL_101_154102_2008.pdf

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