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.

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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Posted in Chaos, Nonlinear Dynamics, Synchronization