Braid forcing and star-shaped train tracks
动力系统
2007-05-23 v1 几何拓扑
摘要
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.
关键词
引用
@article{arxiv.math/0204115,
title = {Braid forcing and star-shaped train tracks},
author = {Andre de Carvalho and Toby Hall},
journal= {arXiv preprint arXiv:math/0204115},
year = {2007}
}
备注
29 pages, 14 figures, AMSLaTeX, uses psfrag.sty and psfrag.pro