The forcing relation for horseshoe braid types
de Carvalho, André ; Hall, Toby
Experiment. Math., Tome 11 (2002) no. 3, p. 271-288 / Harvested from Project Euclid
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This paper presents evidence for a conjecture concerning the structure of the set of braid types of periodic orbits of Smale's horseshoe map, partially ordered by Boyland's forcing order. The braid types are partitioned into totally ordered subsets, which are defined by parsing the symbolic code of a periodic orbit into two segments, the prefix and the decoration: The set of braid types of orbits with each given decoration is totally ordered, the order being given by the unimodal order on symbol sequences. The conjecture is supported by computer experiment, by proofs of special cases, and by intuitive argument in terms of pruning theory.
Publié le : 2002-05-14
Classification:  Horseshoe periodic orbits,  braid forcing,  37Exx,  37Cxx,  57M25 
@article{1062621220,
     author = {de Carvalho, Andr\'e and Hall, Toby},
     title = {The forcing relation for horseshoe braid types},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 271-288},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1062621220}
}

de Carvalho, André; Hall, Toby. The forcing relation for horseshoe braid types. Experiment. Math., Tome 11 (2002) no. 3, pp.  271-288. http://gdmltest.u-ga.fr/item/1062621220/