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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

DECORATION INVARIANTS FOR HORSESHOE BRAIDS

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Author(s):
de Carvalho, Andre [1] ; Hall, Toby [2]
Total Authors: 2
Affiliation:
[1] IME USP, Dept Matemat Aplicada, BR-05508090 Sao Paulo - Brazil
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside - England
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 27, n. 3, p. 863-906, JUL 2010.
Web of Science Citations: 2
Abstract

The Decoration Conjecture describes the structure of the set of braid types of Smale's horseshoe map ordered by forcing, providing information about the order in which periodic orbits can appear when a horseshoe is created. A proof of this conjecture is given for the class of so-called lone decorations, and it is explained how to calculate associated braid conjugacy invariants which provide additional information about forcing for horseshoe braids. (AU)

FAPESP's process: 06/03829-2 - Dynamic in low dimensions
Grantee:André Salles de Carvalho
Support Opportunities: Research Projects - Thematic Grants