Journal article
Comparison of tests for embeddings
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.78(2), pp.026203-026203
01 Aug 2008
PMID: 18850917
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.
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Details
- Title
- Comparison of tests for embeddings
- Creators
- C. Letellier - University of RouenI. M. Moroz - Mathematical InstituteR. Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.78(2), pp.026203-026203
- Publisher
- Amer Physical Soc
- Number of pages
- 11
- Grant note
- Centre National de la Recherche Scientifique (CNRS)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991019167926604721
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- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical