Conjugacies between horseshoe braids

被引：4
|
作者：
de Carvalho, A [1 ]
Hall, T
机构：
[1] SUNY Stony Brook, Inst Math Sci, Stony Brook, NY 11794 USA
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
来源：
NONLINEARITY | 2003年 / 16卷 / 04期
关键词：
D O I：
10.1088/0951-7715/16/4/308
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A proof is given of part of a conjecture about the way in which the set of horseshoe braid types is organized by the forcing partial order. Horseshoe periodic orbits are labelled by their height (a rational number) and decoration (a word in the symbols 0 and 1), and it is shown that, with the exception of the so-called limit cases, periodic orbits of the same height and decoration have the same braid type.
引用
收藏
页码：1329 / 1338
页数：10
相关论文
共 50 条
  • [1] Semi-conjugacies between m-horseshoe maps and n-horseshoe maps
    Shi, Yong-Guo
    Gong, Xiao-Bing
    Wu, Guo-Cheng
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (08) : 1458 - 1468
  • [2] DECORATION INVARIANTS FOR HORSESHOE BRAIDS
    de Carvalho, Andre
    Hall, Toby
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 27 (03) : 863 - 906
  • [3] Conjugacies between general contractions
    Barreiro, Luis
    Valls, Claudia
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3087 - 3098
  • [4] On conjugacies between asymmetric Bernoulli shifts
    Shi, Yong-Guo
    Tang, Yilei
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (01) : 209 - 221
  • [5] Distortion control of conjugacies between quadratic polynomials
    CUI GuiZhen 1
    2 Laboratoire de Mathmatiques
    [J]. Science China Mathematics, 2010, 53 (03) : 625 - 634
  • [6] Distortion control of conjugacies between quadratic polynomials
    Cui GuiZhen
    Tan Lei
    [J]. SCIENCE CHINA-MATHEMATICS, 2010, 53 (03) : 625 - 634
  • [7] Explosion of smoothness for conjugacies between multimodal maps
    Alves, Jose F.
    Pinheiro, Vilton
    Pinto, Alberto A.
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 89 : 255 - 274
  • [8] Distortion control of conjugacies between quadratic polynomials
    GuiZhen Cui
    Lei Tan
    [J]. Science China Mathematics, 2010, 53 : 625 - 634
  • [9] Explosion of Smoothness for Conjugacies Between Unimodal Maps
    Alves, Jose F.
    Pinheiro, Vilton
    Pinto, Alberto A.
    [J]. DYNAMICS, GAMES AND SCIENCE II, 2011, 2 : 115 - +
  • [10] Sets of nondifferentiability for conjugacies between expanding interval maps
    Jordan, Thomas
    Kesseboehmer, Marc
    Pollicott, Mark
    Stratmann, Bernd O.
    [J]. FUNDAMENTA MATHEMATICAE, 2009, 206 : 161 - 183
12345