Journal article
Global Topology from an Embedding
Journal of physics. A, Mathematical and theoretical, v 40(44), pp 13291-13297
23 May 2007
Abstract
An embedding of chaotic data into a suitable phase space creates a
diffeomorphism of the original attractor with the reconstructed attractor.
Although diffeomorphic, the original and reconstructed attractors may not be
topologically equivalent. In a previous work we showed how the original and
reconstructed attractors can differ when the original is three-dimensional and
of genus-one type. In the present work we extend this result to
three-dimensional attractors of arbitrary genus. This result describes
symmetries exhibited by the Lorenz attractor and its reconstructions.
Metrics
Details
- Title
- Global Topology from an Embedding
- Creators
- Robert Gilmore - Drexel UniversityChristophe Letellier - University of RouenNicola Romanazzi - Drexel University
- Publication Details
- Journal of physics. A, Mathematical and theoretical, v 40(44), pp 13291-13297
- Publisher
- Institute of Physics (IOP)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000250199600011
- Scopus ID
- 2-s2.0-36048976449
- Other Identifier
- 991019167760904721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Mathematical
- Physics, Multidisciplinary