Is the dimension of chaotic attractors invariant under coordinate changes?
type: Item
instance of: scholarly article
title: Is the dimension of chaotic attractors invariant under coordinate changes?
zbMATH Open document ID: 0588.58042
DOI: 10.1007/BF01012932
author: Edward Ott
author: James A. Yorke
author: Wm. Douglas Withers
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: Several different dimensionlike quantities, which have been suggested as being relevant to the study of chaotic attractors, are examined. In particular, we discuss whether these quantities are invariant under changes of variables that are differentiable except at a finite number of points. It is found that some are and some are not. It is suggested that the word ''dimension'' be reversed only for those quantities have this invariance property.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 3944909
zbMATH Keywords: coordinate changes
zbMATH Keywords: chaotic attractors
zbMATH Keywords: invariance property
MaRDI profile type: Publication
cites work: Q4154814
cites work: Q4740120
cites work: Measuring the strangeness of strange attractors
cites work: Q3259049
full work available at URL: https://doi.org/10.1007/bf01012932
OpenAlex ID: W2017767992
description: scientific article; zbMATH DE number 3944909