Reconstruction of blurred orbits under finite resolution
type: Item
instance of: scholarly article
title: Reconstruction of blurred orbits under finite resolution
zbMATH Open document ID: 0834.65057
DOI: 10.1016/0096-3003(94)00156-X
author: James F. Geer
author: Jiri Fridrich
published in: Applied Mathematics and Computation
publication date: 1996-03-31T00:00:00Z
review text: The paper presents some techniques to retrieve information about orbits of dynamical systems lost in the process of making measurements due to discretization, sampling or noise. The authors propose a general method of reprocessing the experimentally obtained data to effectively increase its information content and show how the information about an orbit can be improved by a mere reprocessing of the data without having to change the experimental setup used for measurements. The method presented in the case of one-dimensional blurred orbits is then extended to higher- dimensional discrete dynamical systems. The efficiency of the proposed method is studied for the examples of the Henon map and the Holmes map.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 803667
zbMATH Keywords: accuracy of measurements
zbMATH Keywords: orbits
zbMATH Keywords: blurred orbits
zbMATH Keywords: discrete dynamical systems
zbMATH Keywords: Henon map
zbMATH Keywords: Holmes map
reviewed by: Andrzej Marciniak
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
cites work: Q4003098
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full work available at URL: 0096-3003(94)00156-x
OpenAlex ID: W1986955663
description: scientific article; zbMATH DE number 803667