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Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics
- Source :
- Phys. Rev. Lett. 101, 154102 (2008).
- Publication Year :
- 2008
-
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.<br />Comment: 10 pages, 4 figures
- Subjects :
- Nonlinear Sciences - Chaotic Dynamics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 101, 154102 (2008).
- Publication Type :
- Report
- Accession number :
- edsarx.0809.3777
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.101.154102