Journal article
Complete set of representations for dissipative chaotic three-dimensional dynamical systems
Physical review. E, Statistical, nonlinear, and soft matter physics, v 82(5), pp 056211-056211
22 Nov 2010
PMID: 21230567
Abstract
Embeddings are diffeomorphisms between some dynamical phase space and a reconstructed image. Different embeddings may or may not be equivalent under isotopy. We regard embeddings as representations of the dynamical phase space. We determine the topological labels required to distinguish inequivalent representations of three-dimensional dissipative dynamical systems when the embeddings are into R-k, k=3,4,5,... Three representation labels are required for embeddings into R-3, and only one is required in R-4. In R-5 there is a single "universal" representation.
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Details
- Title
- Complete set of representations for dissipative chaotic three-dimensional dynamical systems
- Creators
- Daniel J. Cross - Drexel UniversityR. Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 82(5), pp 056211-056211
- Publisher
- Amer Physical Soc
- Number of pages
- 5
- 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:000284467300002
- Scopus ID
- 2-s2.0-78651370221
- Other Identifier
- 991019167853004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical