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A data-fitting procedure for chaotic time series
Author(s) -
J. M. McDonough,
S. Mukerji,
Seung Whan Chung
Publication year - 1998
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/677199
Subject(s) - series (stratigraphy) , chaotic , scale (ratio) , mathematics , interval (graph theory) , time series , power series , algorithm , computer science , mathematical analysis , statistics , physics , artificial intelligence , geology , paleontology , quantum mechanics , combinatorics
In this paper the authors introduce data characterizations for fitting chaotic data to linear combinations of one-dimensional maps (say, of the unit interval) for use in subgrid-scale turbulence models. They test the efficacy of these characterizations on data generated by a chaotically-forced Burgers` equation and demonstrate very satisfactory results in terms of modeled time series, power spectra and delay maps

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