Journal article
Representation theory for strange attractors
Physical review. E, Statistical, nonlinear, and soft matter physics, v 80(5), pp 056207-056207
01 Nov 2009
PMID: 20365060
Abstract
Embeddings are diffeomorphisms between some unseen physical attractor and a reconstructed image. Different embeddings may or may not be equivalent under isotopy. We regard embeddings as representations of the attractor, review the labels required to distinguish inequivalent representations for an important class of dynamical systems, and discuss the systematic ways inequivalent embeddings become equivalent as the embedding dimension increases until there is finally only one "universal" embedding in a suitable dimension.
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Details
- Title
- Representation theory for strange attractors
- Creators
- Daniel J. Cross - Drexel UniversityR. Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 80(5), pp 056207-056207
- Publisher
- Amer Physical Soc
- Number of pages
- 6
- Grant note
- PHY-0754081 / U.S. National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000272309700031
- Scopus ID
- 2-s2.0-71449119270
- Other Identifier
- 991019167867404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical