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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom