On the role of invariants for the parameter estimation problem in Hamiltonian systems

Baake M, Baake E, Eich E (1993)
Physics letters 180(1-2): 74-82.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
OA
Abstract / Bemerkung
The parameter estimation problem is discussed for differential equations that describe a Hamiltonian system. Since the conserved total energy is an invariant which contains all parameters of the system, we can achieve parameter estimation without any numerical integration. This is demonstrated for data in the chaotic region of the Hénon-Heiles system and of the planar double pendulum. We show that the method works well for ideal as well as noisy data. In this context, an appropriate method for the generation of reliable time series in the presence of an invariant is discussed. Finally, it is shown that our method also provides a simple approach to global fitting in discrete dynamical systems with invariants.
Erscheinungsjahr
1993
Zeitschriftentitel
Physics letters
Band
180
Ausgabe
1-2
Seite(n)
74-82
ISSN
0375-9601
Page URI
https://pub.uni-bielefeld.de/record/1775603

Zitieren

Baake M, Baake E, Eich E. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters. 1993;180(1-2):74-82.
Baake, M., Baake, E., & Eich, E. (1993). On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters, 180(1-2), 74-82. https://doi.org/10.1016/0375-9601(93)90497-N
Baake, Michael, Baake, Ellen, and Eich, E. 1993. “On the role of invariants for the parameter estimation problem in Hamiltonian systems”. Physics letters 180 (1-2): 74-82.
Baake, M., Baake, E., and Eich, E. (1993). On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters 180, 74-82.
Baake, M., Baake, E., & Eich, E., 1993. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters, 180(1-2), p 74-82.
M. Baake, E. Baake, and E. Eich, “On the role of invariants for the parameter estimation problem in Hamiltonian systems”, Physics letters, vol. 180, 1993, pp. 74-82.
Baake, M., Baake, E., Eich, E.: On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters. 180, 74-82 (1993).
Baake, Michael, Baake, Ellen, and Eich, E. “On the role of invariants for the parameter estimation problem in Hamiltonian systems”. Physics letters 180.1-2 (1993): 74-82.
Alle Dateien verfügbar unter der/den folgenden Lizenz(en):
Copyright Statement:
Dieses Objekt ist durch das Urheberrecht und/oder verwandte Schutzrechte geschützt. [...]
Volltext(e)
Access Level
OA Open Access
Zuletzt Hochgeladen
2019-09-06T08:48:18Z
MD5 Prüfsumme
ecd2b8fbffe56aaefcc01a6b83cd4e69


Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®
Suchen in

Google Scholar