Universality in nonlinear prediction of complex systems

We exploit ideas of nonlinear dynamics and statistical physics in a complex nondeterministic dynamical setting using the Ruelle-Takens embedding. We present some new insights on the quality of the prediction in the laminar regime and we exhibit the data collapse of the predicted relative first diffe...

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Bibliographic Details
Published in:Journal of difference equations and applications 2009-11, Vol.15 (11-12), p.1067-1076
Main Authors: Gonçalves, R., Ferreira, H., Pinto, A., Stollenwerk, N.
Format: Article
Language:English
Subjects:
BHP distribution
nonlinear dynamics
river flow prediction
Ruelle-Takens embedding
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Summary:We exploit ideas of nonlinear dynamics and statistical physics in a complex nondeterministic dynamical setting using the Ruelle-Takens embedding. We present some new insights on the quality of the prediction in the laminar regime and we exhibit the data collapse of the predicted relative first difference fluctuations to the universal Bramwell-Hodsworth-Pinton distribution. Hence, the nearest neighbour method of prediction acts as a filter that does not eliminate the randomness, but exhibits its universal character.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190902832736