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  Using waveform information in nonlinear data assimilation

Rey, D., Eldridge, M., Morone, U., Abarbanel, H. D. I., Parlitz, U., & Schumann-Bischoff, J. (2014). Using waveform information in nonlinear data assimilation. Physical Review E, 90(6), 062916-1-062916-23. doi:10.1103/PhysRevE.90.062916.

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Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0EDD-E Versions-Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0EDE-C
Genre: Zeitschriftenartikel

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 Urheber:
Rey, Daniel, Autor
Eldridge, Michael, Autor
Morone, Uriel, Autor
Abarbanel, Henry D. I., Autor
Parlitz, Ulrich1, Autor              
Schumann-Bischoff, Jan1, Autor              
Affiliations:
1Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063288              

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Schlagwörter: PARAMETER-ESTIMATION; SYSTEMS; STATE; MODEL; SYNCHRONIZATION; OBSERVABILITY; OBSERVERS; NUMBER; FLOW
 Zusammenfassung: Information in measurements of a nonlinear dynamical system can be transferred to a quantitative model of the observed system to establish its fixed parameters and unobserved state variables. After this learning period is complete, one may predict the model response to new forces and, when successful, these predictions will match additional observations. This adjustment process encounters problems when the model is nonlinear and chaotic because dynamical instability impedes the transfer of information from the data to the model when the number of measurements at each observation time is insufficient. We discuss the use of information in the waveform of the data, realized through a time delayed collection of measurements, to provide additional stability and accuracy to this search procedure. Several examples are explored, including a few familiar nonlinear dynamical systems and small networks of Colpitts oscillators.

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Sprache(n): eng - Englisch
 Datum: 2014-12-22
 Publikationsstatus: Im Druck publiziert
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: eDoc: 708937
DOI: 10.1103/PhysRevE.90.062916
 Art des Abschluß: -

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Titel: Physical Review E
  Alternativer Titel : Phys. Rev. E
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 90 (6) Artikelnummer: - Start- / Endseite: 062916-1 - 062916-23 Identifikator: ISSN: 1539-3755