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Dynamical properties of maps fitted to data in the noise-free limit
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-7261-0399
2013 (English)In: Journal of Biological Dynamics, ISSN 1751-3758, E-ISSN 1751-3766, Vol. 7, no S1, p. 108-116Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Taylor & Francis, 2013. Vol. 7, no S1, p. 108-116
Keywords [en]
deterministic chaos, model selection, regression model, time-series, threshold autoregressive model, skew tent map, uniqueness of periodic attractors, difference equation, bifurcation diagram
National Category
Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-30517DOI: 10.1080/17513758.2013.804127ISI: 000341270500008Scopus ID: 2-s2.0-84888133723OAI: oai:DiVA.org:lnu-30517DiVA, id: diva2:665300
Conference
Selected Papers from the Conference on Innovative Mathematical Methods and Models of Bioscience held in Trento, Italy, in honour of Mimmo Iannelli
Available from: 2013-11-19 Created: 2013-11-19 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textScopushttp://www.tandfonline.com/doi/full/10.1080/17513758.2013.804127#.UotqJxAvvXQ

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Lindström, Torsten

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Output format
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