Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics
Chaotic Dynamics
2009-08-24 v1
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.
Cite
@article{arxiv.0809.3777,
title = {Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics},
author = {Adam B. Cohen and Bhargava Ravoori and Thomas E. Murphy and Rajarshi Roy},
journal= {arXiv preprint arXiv:0809.3777},
year = {2009}
}
Comments
10 pages, 4 figures