Author
Letellier, C
Moroz, I
Gilmore, R
Journal title
Phys Rev E Stat Nonlin Soft Matter Phys
DOI
10.1103/PhysRevE.78.026203
Issue
2 Pt 2
Volume
78
Last updated
2024-03-06T18:14:29.353+00:00
Page
026203-
Abstract
It is possible to compare results for the classical tests for embeddings of chaotic data with the results of a recently proposed test. The classical tests, which depend on real numbers (fractal dimensions, Lyapunov exponents) averaged over an attractor, are compared with a topological test that depends on integers. The comparison can only be done for mappings into three dimensions. We find that the classical tests fail to predict when a mapping is an embedding and when it is not. We point out the reasons for this failure, which are not restricted to three dimensions.
Symplectic ID
5370
Download URL
https://www.ncbi.nlm.nih.gov/pubmed/18850917
Favourite
On
Publication type
Journal Article
Publication date
Aug 2008
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