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.
arXiv: 0809.3777Abstract: 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.
- Cohen_PRL_101_154102_2008_supplemental.pdf - Supplementary Material