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APS » Journals » Phys. Rev. Lett. » Volume 101 » Issue 15
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Phys. Rev. Lett. 101, 154102 (2008) [4 pages]

Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

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Adam B. Cohen1,2, Bhargava Ravoori1,2, Thomas E. Murphy1,3, and Rajarshi Roy1,2,4
1Institute for Research in Electronic and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
2Department of Physics, University of Maryland, College Park, Maryland 20742, USA
3Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
4Institute for Physical Sciences and Technology, University of Maryland, College Park, Maryland 20742, USA

Received 25 July 2008; published 9 October 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.154102
DOI:
10.1103/PhysRevLett.101.154102
PACS:
05.45.Jn, 05.45.Pq, 05.45.Xt
 
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