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Mangiarotti Sylvain, Huc M. (2019). Can the original equations of a dynamical system be retrieved from observational time series ?. Chaos, 29 (2), p. art. 023133 [13 p.]. ISSN 1054-1500.

Titre du document
Can the original equations of a dynamical system be retrieved from observational time series ?
Année de publication
2019
Type de document
Article référencé dans le Web of Science WOS:000460032800036
Auteurs
Mangiarotti Sylvain, Huc M.
Source
Chaos, 2019, 29 (2), p. art. 023133 [13 p.] ISSN 1054-1500
The aim of the present work is to investigate the possibility to retrieve the original sets of dynamical equations directly from observational time series when all the system variables are observed. Time series are generated from chosen dynamical systems, and the global modeling technique is applied to obtain optimal models of parsimonious structure from these time series. The obtained models are then compared to the original equations to investigate if the original equations can be retrieved. Twenty-seven systems are considered in the study. The Rossler system is first used to illustrate the procedure and then to test the robustness of the approach under various conditions, varying the initial conditions, time series length, dynamical regimes, subsampling (and resampling), measurement noise, and dynamical perturbations. The other 26 systems (four rational ones included) of various algebraic structures, sizes, and dimensions are then considered to investigate the generality of the approach.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
Localisation
Fonds IRD [F B010075291]
Identifiant IRD
fdi:010075291
Contact