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.
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1993
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| 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
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| Verfasserangaben: | Josef Kallrath, Johannes P. Schlöder, Hans Georg Bock |
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| 500 | |a Gesehen am 14.06.2023 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a boundary value problem approach | |
| 650 | 4 | |a dynamical systems | |
| 650 | 4 | |a Hénon-Heiles system | |
| 650 | 4 | |a least squares techniques | |
| 650 | 4 | |a Lyapunov spectrum | |
| 650 | 4 | |a numerical parameter estimation | |
| 700 | 1 | |a Schlöder, Johannes P. |e VerfasserIn |0 (DE-588)134228685 |0 (DE-627)563402768 |0 (DE-576)300390009 |4 aut | |
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