Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction

2014 | journal article; research paper. A publication with affiliation to the University of Göttingen.

Jump to: Cite & Linked | Documents & Media | Details | Version history

Cite this publication

​Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction​
Parlitz, U.; Schumann-Bischoff, J. & Luther, S. ​ (2014) 
Chaos: An Interdisciplinary Journal of Nonlinear Science24(2) art. 024411​.​ DOI: https://doi.org/10.1063/1.4884344 

Documents & Media

License

GRO License GRO License

Details

Authors
Parlitz, Ulrich; Schumann-Bischoff, Jan; Luther, Stefan 
Abstract
Features of the Jacobian matrix of the delay coordinates map are exploited for quantifying the robustness and reliability of state and parameter estimations for a given dynamical model using a measured time series. Relevant concepts of this approach are introduced and illustrated for discrete and continuous time systems employing a filtered Henon map and a Rossler system. (C) 2014 AIP Publishing LLC.
Issue Date
2014
Journal
Chaos: An Interdisciplinary Journal of Nonlinear Science 
Project
SFB 1002: Modulatorische Einheiten bei Herzinsuffizienz 
SFB 1002 | C03: Erholung nach Herzinsuffizienz: Analyse der transmuralen mechano-elektrischen Funktionsstörung 
Working Group
RG Luther (Biomedical Physics) 
ISSN
1089-7682; 1054-1500
Language
English

Reference

Citations


Social Media