Is the dimension of chaotic attractors invariant under coordinate changes? View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1984-09

AUTHORS

E. Ott, W. D. Withers, J. A. Yorke

ABSTRACT

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. More... »

PAGES

687-697

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01012932

DOI

http://dx.doi.org/10.1007/bf01012932

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033195499


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