A DATA-FITTING PROCEDURE FOR CHAOTIC TIME-SERIES

Authors
MCDONOUGH JM MUKERJI S CHUNG S
Citation
Jm. Mcdonough et al., A DATA-FITTING PROCEDURE FOR CHAOTIC TIME-SERIES, Applied mathematics and computation, 95(2-3), 1998, pp. 219-243
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
95
Issue
2-3
Year of publication
1998
Pages
219 - 243
Database
ISI
SICI code
0096-3003(1998)95:2-3<219:ADPFCT>2.0.ZU;2-W
Abstract
In this paper we 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. We test the effi cacy of these characterizations on data generated by a chaotically-for ced Burgers' equation and demonstrate very satisfactory results in ter ms of modeled time series, power spectra and delay maps. (C) 1998 Else vier Science Inc. All rights reserved.