Universality in nonlinear prediction of complex systems
| Autor: | Helena Ferreira, Alberto A. Pinto, Nico Stollenwerk, Rui F. Gonçalves |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory 010504 meteorology & atmospheric sciences Applied Mathematics Complex system Laminar flow 01 natural sciences Nonlinear prediction Universality (dynamical systems) Nondeterministic algorithm Nonlinear system 0103 physical sciences Embedding Statistical physics 010306 general physics Analysis Randomness 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Journal of Difference Equations and Applications. 15:1067-1076 |
| ISSN: | 1563-5120 1023-6198 |
| DOI: | 10.1080/10236190902832736 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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