Rotation orbits and the Farey tree

被引:14
|
作者
Goldberg, L
Tresser, C
机构
[1] BARRA INC,BERKELEY,CA 94707
[2] IBM CORP,YORKTOWN HTS,NY 10598
关键词
D O I
10.1017/S0143385700010154
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An alpha-rotation orbit for a self-map of the circle is an orbit whose cyclic order on the circle is the same as for any orbit of rotation by alpha. In this paper, we classify sets which are minimal sets comprised of alpha-rotation orbits for degree d self-coverings of the circle.
引用
下载
收藏
页码:1011 / 1029
页数:19
相关论文
共 50 条
  • [11] Generalized Farey Tree Network with Small-World
    Fang, Jin-Qing
    Li, Yong
    COMPLEX SCIENCES, PT 2, 2009, 5 : 1678 - 1689
  • [12] Multifractal spectrum of an experimental (video feedback) Farey tree
    Piacquadio, M.
    Rosen, M.
    JOURNAL OF STATISTICAL PHYSICS, 2007, 127 (04) : 783 - 804
  • [13] Multifractal Spectrum of an Experimental (Video Feedback) Farey Tree
    M. Piacquadio
    M. Rosen
    Journal of Statistical Physics, 2007, 127 : 783 - 804
  • [14] Entropies of the partitions of the unit interval generated by the Farey tree
    Moshchevitin, N
    Zhigljsky, A
    ACTA ARITHMETICA, 2004, 115 (01) : 47 - 58
  • [15] SOLAR ROTATION AND PLANETARY ORBITS
    SHAPIRO, II
    ICARUS, 1965, 4 (5-6) : 549 - &
  • [16] A Farey tree organization of locking regions for simple circle maps
    Brucks, KM
    Tresser, C
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) : 637 - 647
  • [17] Broken Farey tree and fractal in a hexagonal centrifugal governor with a spring
    Rao, Xiao-Bo
    Chu, Yan-Dong
    Chang, Ying-Xiang
    Zhang, Jian-Gang
    CHAOS SOLITONS & FRACTALS, 2018, 107 : 251 - 255
  • [18] Farey maps, Diophantine approximation and Bruhat-Tits tree
    Kim, Dong Han
    Lim, Seonhee
    Nakada, Hitoshi
    Natsui, Rie
    FINITE FIELDS AND THEIR APPLICATIONS, 2014, 30 : 14 - 32
  • [19] FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREE AND THE PYRAMID NETWORKS
    Yong LI·Jinqing FANG·Qiang LIU China Institute of Atomic Energy
    Journal of Systems Science & Complexity, 2010, 23 (04) : 681 - 700
  • [20] From unweighted to weighted generalized Farey organized tree and the pyramid networks
    Li, Yong
    Fang, Jinqing
    Liu, Qiang
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (04) : 681 - 700