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Dynamical properties of maps fitted to data in the noise-free limit

We argue that any attempt to classify dynamical properties from nonlinear finite time-series data requires a mechanistic model fitting the data better than piecewise linear models according to standard model selection criteria. Such a procedure seems necessary but still not sufficient.

Detalles Bibliográficos
Autor principal: Lindström, Torsten
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3957467/
https://www.ncbi.nlm.nih.gov/pubmed/23768079
http://dx.doi.org/10.1080/17513758.2013.804127
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author Lindström, Torsten
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description We argue that any attempt to classify dynamical properties from nonlinear finite time-series data requires a mechanistic model fitting the data better than piecewise linear models according to standard model selection criteria. Such a procedure seems necessary but still not sufficient.
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spelling pubmed-39574672014-03-28 Dynamical properties of maps fitted to data in the noise-free limit Lindström, Torsten J Biol Dyn Research Article We argue that any attempt to classify dynamical properties from nonlinear finite time-series data requires a mechanistic model fitting the data better than piecewise linear models according to standard model selection criteria. Such a procedure seems necessary but still not sufficient. Taylor & Francis 2013-06-14 2013-12 /pmc/articles/PMC3957467/ /pubmed/23768079 http://dx.doi.org/10.1080/17513758.2013.804127 Text en © 2013 The Author(s). Published by Taylor & Francis. http://www.informaworld.com/mpp/uploads/iopenaccess_tcs.pdf This is an open access article distributed under the Supplemental Terms and Conditions for iOpenAccess articles published in Taylor & Francis journals (http://www.informaworld.com/mpp/uploads/iopenaccess_tcs.pdf) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The moral rights of the named author(s) have been asserted.
spellingShingle Research Article
Lindström, Torsten
Dynamical properties of maps fitted to data in the noise-free limit
title Dynamical properties of maps fitted to data in the noise-free limit
title_full Dynamical properties of maps fitted to data in the noise-free limit
title_fullStr Dynamical properties of maps fitted to data in the noise-free limit
title_full_unstemmed Dynamical properties of maps fitted to data in the noise-free limit
title_short Dynamical properties of maps fitted to data in the noise-free limit
title_sort dynamical properties of maps fitted to data in the noise-free limit
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3957467/
https://www.ncbi.nlm.nih.gov/pubmed/23768079
http://dx.doi.org/10.1080/17513758.2013.804127
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