Dynamics reconstruction using orthonormal functions
type: Item
instance of: scholarly article
title: Dynamics reconstruction using orthonormal functions
zbMATH Open document ID: 0970.93001
DOI: 10.1016/S0893-9659(99)00119-6
author: V. Vidal
author: G. Verdú
author: D. Ginestar
published in: Applied Mathematics Letters
publication date: 2001-10-21T00:00:00Z
review text: The authors approach the problem of global reconstruction of the dynamics associated with a given signal using a QR decomposition of the generating function matrix. The method consists in the expansion of the function that characterizes the differential equation as a weighted sum of orthonormal functions and it is shown, by means of two examples, to be robust against noise contamination. The method can be used as well to perform local reconstruction of the dynamics by partitioning the signal into different records and reconstructing each of them to obtain the local map.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93B30
zbMATH DE Number: 1428526
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: system identification
zbMATH Keywords: QR decomposition
zbMATH Keywords: orthonormal functions
zbMATH Keywords: reconstruction of the dynamics
reviewed by: Liviu Goraş
MaRDI profile type: Publication
cites work: Q5686950
cites work: Q5646734
cites work: Q3359644
description: scientific article; zbMATH DE number 1428526