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ID: 708937.0, MPI für Dynamik und Selbstorganisation / Nichtlineare Dynamik und Arrhythmia des Herzens
Using waveform information in nonlinear data assimilation
Authors:Rey, Daniel; Eldridge, Michael; Morone, Uriel; Abarbanel, Henry D. I.; Parlitz, Ulrich; Schumann-Bischoff, Jan
Language:English
Date of Publication (YYYY-MM-DD):2014-12-22
Title of Journal:Physical Review E
Journal Abbrev.:Phys. Rev. E
Volume:90
Issue / Number:6
Start Page:062916-1
End Page:062916-23
Review Status:Peer-review
Audience:Experts Only
Intended Educational Use:Yes
Abstract / Description: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.
Free Keywords:PARAMETER-ESTIMATION; SYSTEMS; STATE; MODEL; SYNCHRONIZATION; OBSERVABILITY; OBSERVERS; NUMBER; FLOW
External Publication Status:published
Document Type:Article
Communicated by:Folkert Mueller-Hoissen
Affiliations:MPI für Dynamik und Selbstorganisation/Nichtlineare Dynamik und Arrhythmia des Herzens
External Affiliations:Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA;
Univ Goettingen, Inst Nonlinear Dynam, D-37077 Goettingen, Germany
Identifiers:DOI:10.1103/PhysRevE.90.062916
ISSN:1539-3755
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