An Investigation of the Ability of Nonlinear Methods to Infer Dynamics from Observables

In this study analysis of data whose character was kept secret was performed by employing a variety of nonlinear approaches. The idea was to test the ability of approaches stemming from the theory of nonlinear dynamical systems to infer the true properties hidden in the data. The approaches employed...

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Bibliographic Details
Published in:Bulletin of the American Meteorological Society 1994-09, Vol.75 (9), p.1623-1633
Main Authors: Tsonis, A. A., Triantafyllou, G. N., Elsner, J. B., Holdzkom, J. J., Kirwan, A. D.
Format: Article
Language:English
Subjects:
Autocorrelation
Chaos theory
Dynamical systems
Earth, ocean, space
Exact sciences and technology
External geophysics
Geophysics. Techniques, methods, instrumentation and models
Meteorology
Neighborhoods
Series convergence
Spectral index
Time series
Time series forecasting
Time series models
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Summary:In this study analysis of data whose character was kept secret was performed by employing a variety of nonlinear approaches. The idea was to test the ability of approaches stemming from the theory of nonlinear dynamical systems to infer the true properties hidden in the data. The approaches employed include dimension estimation, nonlinear prediction, Lyapunov exponent estimation, and false nearest neighbors. It is concluded that even though the methods have problems and occasionally may be inconclusive, when correctly applied they are effective in delineating the dynamics underlying the data.
ISSN:0003-0007
1520-0477
DOI:10.1175/1520-0477(1994)075<1623:AIOTAO>2.0.CO;2