Files and links (1)
Published, Version of Record (VoR)Open Access (License Unspecified), Open
Journal article
Comparison of tests for embeddings
Physical review. E, Statistical, nonlinear, and soft matter physics, v 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.
Metrics
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, v 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]
- Web of Science ID
- WOS:000259263700039
- Scopus ID
- 2-s2.0-49449106515
- Other Identifier
- 991019167926604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical