Braid forcing and star-shaped train tracks

Details Braid forcing and star-shaped train tracks Braid forcing and star-shaped train tracks

2002-04-10

arxiv.org/abs/math/0204115v1

Mathematics

Dynamical Systems

29 pages, 14 figures, AMSLaTeX, uses psfrag.sty and psfrag.pro

Scientific paper

Global results are proved about the way in which Boyland's forcing partial order organizes a set of braid types: those of periodic orbits of Smale's horseshoe map for which the associated train track is a star. This is a special case of a conjecture introduced in a previous paper, which claims that forcing organizes all horseshoe braid types into linearly ordered families which are, in turn, parameterized by homoclinic orbits to the fixed point of code 0.

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