Noisy time series based prediction of complex oscillator networks with time delays

Details Noisy time series based prediction of complex oscillator networks with time delays Noisy time series based prediction of complex oscillator networks with time delays

2011-01-31

arxiv.org/abs/1101.6074v1

Physics

Data Analysis, Statistics and Probability

6 pages, 4 figures

Scientific paper

We present a general, completely data-driven method to predict the full topology of complex oscillator networks with a noisy environment in the presence of time-delayed coupling. In particular, we develop an analytic theory establishing that the dynamical correlation matrix, constructed purely from measured time series, can be manipulated to yield both the network topology and the amount of time delay simultaneously. Extensive numerical support is provided to validate the method. Our method provides a viable solution to the network inverse problem in fields where predicting unknown, time-delay coupled complex networks of arbitrary topology is of broad interest.

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