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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Bibliographic Details
Main Authors: Kallrath, Josef (Author) , Schlöder, Johannes P. (Author) , Bock, Hans Georg (Author)
Format: Article (Journal)
Language:English
Published: 1993
In: Celestial mechanics and dynamical astronomy
Year: 1993, Volume: 56, Issue: 1, Pages: 353-371
ISSN:1572-9478
DOI:10.1007/BF00699746
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF00699746
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Author Notes:Josef Kallrath, Johannes P. Schlöder, Hans Georg Bock
Description
Summary: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.
Item Description:Gesehen am 14.06.2023
Physical Description:Online Resource
ISSN:1572-9478
DOI:10.1007/BF00699746