Complete set of representations for dissipative chaotic three-dimensional dynamical systems.
Phys Rev E Stat Nonlin Soft Matter Phys
; 82(5 Pt 2): 056211, 2010 Nov.
Article
en En
| MEDLINE
| ID: mdl-21230567
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 R³, and only one is required in R4. In R5 there is a single "universal" representation.
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01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2010
Tipo del documento:
Article
País de afiliación:
Estados Unidos
Pais de publicación:
Estados Unidos