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Brief Communication: Breeding vectors in the phase space reconstructed from time series data
Lynch, Erin Kaufman, Daniel Sharma, A. Surjalal Kalnay, Eugenia Ide, Kayo
Lynch, Erin
Kaufman, Daniel
Sharma, A. Surjalal
Kalnay, Eugenia
Ide, Kayo
Abstract
Bred vectors characterize the nonlinear instability of dynamical systems and so far have been computed only for systems with known evolution equations. In this article, bred vectors are computed from a single time series data using time-delay embedding, with a new technique, nearest-neighbor breeding. Since the dynamical properties of the standard and nearest-neighbor breeding are shown to be similar, this provides a new and novel way to model and predict sudden transitions in systems represented by time series data alone.
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2016-01-01
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brief.pdf
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Biological Sciences Peer-Reviewed Articles, MAGNETOSPHERIC DYNAMICS; PREDICTION; FILTERS; STORMS
Citation
Lynch, E., Kaufman, D., Sharma, A. S., Kalnay, E., and Ide, K.: Brief Communication: Breeding vectors in the phase space reconstructed from time series data, Nonlin. Processes Geophys., 23, 137-141, https://doi.org/10.5194/npg-23-137-2016, 2016.
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Virginia Institute of Marine Science
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https://doi.org/10.5194/npg-23-137-2016