Fitting ordinary differential equations to chaotic data

Baake, Ellen; Baake, Michael; Bock, H. G.; Briggs, K. M.

Fitting ordinary differential equations to chaotic data

Baake E, Baake M, Bock HG, Briggs KM (1992)
Physical Review A 45(8): 5524-5529.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Baake_005.pdf

DOI

https://doi.org/10.1103/PhysRevA.45.5524

URN

urn:nbn:de:0070-pub-17755994

Autor*in

Baake, Ellen^UniBi; Baake, Michael^UniBi; Bock, H. G.; Briggs, K. M.

Einrichtung

Forschungsschwerpunkt Mathematisierung

Abstract / Bemerkung

We address the problem of estimating parameters in systems of ordinary differential equations which give rise to chaotic time series. We claim that the problem is naturally tackled by boundary value problem methods. The power of this approach is demonstrated by various examples with ideal as well as noisy data. In particular, Lyapunov exponents can be computed accurately from time series much shorter than those required by previous methods.

Erscheinungsjahr

1992

Zeitschriftentitel

Physical Review A

Band

Ausgabe

Seite(n)

5524-5529

ISSN

1050-2947

eISSN

1094-1622

Page URI

https://pub.uni-bielefeld.de/record/1775599

Zitieren

Baake E, Baake M, Bock HG, Briggs KM. Fitting ordinary differential equations to chaotic data. Physical Review A. 1992;45(8):5524-5529.

Baake, E., Baake, M., Bock, H. G., & Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), 5524-5529. https://doi.org/10.1103/PhysRevA.45.5524

Baake, Ellen, Baake, Michael, Bock, H. G., and Briggs, K. M. 1992. “Fitting ordinary differential equations to chaotic data”. Physical Review A 45 (8): 5524-5529.

Baake, E., Baake, M., Bock, H. G., and Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A 45, 5524-5529.

Baake, E., et al., 1992. Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), p 5524-5529.

E. Baake, et al., “Fitting ordinary differential equations to chaotic data”, Physical Review A, vol. 45, 1992, pp. 5524-5529.

Baake, E., Baake, M., Bock, H.G., Briggs, K.M.: Fitting ordinary differential equations to chaotic data. Physical Review A. 45, 5524-5529 (1992).

Baake, Ellen, Baake, Michael, Bock, H. G., and Briggs, K. M. “Fitting ordinary differential equations to chaotic data”. Physical Review A 45.8 (1992): 5524-5529.

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Open Access

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Daten bereitgestellt von European Bioinformatics Institute (EBI)

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