English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  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.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0EDD-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0EDE-C
Genre: Journal Article

Files

show Files

Locators

show

Creators

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

Content

show
hide
Free keywords: PARAMETER-ESTIMATION; SYSTEMS; STATE; MODEL; SYNCHRONIZATION; OBSERVABILITY; OBSERVERS; NUMBER; FLOW
 Abstract: 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.

Details

show
hide
Language(s): eng - English
 Dates: 2014-12-22
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 708937
DOI: 10.1103/PhysRevE.90.062916
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review E
  Alternative Title : Phys. Rev. E
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 90 (6) Sequence Number: - Start / End Page: 062916-1 - 062916-23 Identifier: ISSN: 1539-3755