Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics

Adam B. Cohen, Bhargava Ravoori, Thomas E. Murphy, and Rajarshi Roy
Phys. Rev. Lett. 101, 154102 – Published 9 October 2008
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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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  • Received 25 July 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.154102

©2008 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 101, Iss. 15 — 10 October 2008

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