Least squares parameter estimation in chaotic differential equations

A recent least squares algorithm, which is designed to adapt implicit models to given sets of data, especially models given by differential equations or dynamical systems, is reviewed and used to fit the Hénon-Heiles differential equations to chaotic data sets.

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Bibliographische Detailangaben
Hauptverfasser: Kallrath, Josef (VerfasserIn) , Schlöder, Johannes P. (VerfasserIn) , Bock, Hans Georg (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1993
In: Celestial mechanics and dynamical astronomy
Year: 1993, Jahrgang: 56, Heft: 1, Pages: 353-371
ISSN:1572-9478
DOI:10.1007/BF00699746
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF00699746
Volltext
Verfasserangaben:Josef Kallrath, Johannes P. Schlöder, Hans Georg Bock
Beschreibung
Zusammenfassung:A recent least squares algorithm, which is designed to adapt implicit models to given sets of data, especially models given by differential equations or dynamical systems, is reviewed and used to fit the Hénon-Heiles differential equations to chaotic data sets.
Beschreibung:Gesehen am 14.06.2023
Beschreibung:Online Resource
ISSN:1572-9478
DOI:10.1007/BF00699746