Phys. Rev. E 80, 056207 (2009) [6 pages]Representation theory for strange attractorsReceived 28 October 2008; revised 12 October 2009; published 18 November 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.056207
DOI:
10.1103/PhysRevE.80.056207
PACS:
05.45.Xt, 05.45.Ac, 05.45.Gg, 05.45.Ra
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