中文 English version
  • Home
  • About
  • Guide
  • Editorial Board
  • Email Alert
  • Subscription
  • Archive
  • Contact
    • 顾英,崔菊连,车燕.圆周上有4周期轨的连续自映射的周期集[J].数学年刊A辑,2010,31(6):657~666
    圆周上有4周期轨的连续自映射的周期集
    Sets of Periods of Continuous Self-maps with Least Period Four on the Circle
      
    DOI：
    中文关键词:  圆周  周期  Sharkovskii定理  共轭  同伦
    英文关键词:
    基金项目:
    Author NameAffiliationE-mail
    GU Ying Department of Basic Courses, Beijing Union University, Beijing 100101, China. ldtguying@buu.edu.cn 
    CUI Julian Department of Basic Courses, Beijing Union University, Beijing 100101, China. ldtjulian@buu.edu.cn 
    CHE Yan Department of Basic Courses, Beijing Union University, Beijing 100101, China. ldtcheyan@buu.edu.cn 
    Hits: 690
    Download times: 698
    中文摘要:
          讨论了圆周上有4周期轨的连续自映射的周期集.首先按相对共轭以及相对同伦的关系对圆周上所有有4周期轨的连续自映射分类,再利用映射覆盖图来讨论每一类映射的周期集.最后按同伦最小周期集对圆周上所有有4周期轨的连续自映射进行了分类.将此结果与线段上的Sharkovskii定理对比时可以发现,儿乎所有圆周上有4周期轨的连续自映射的周期集都是全体自然数集.
    英文摘要:
          
    View Full Text  View/Add Comment  Download reader
    Close

    Organizer：The Ministry of Education of China Sponsor：Fudan University Address：220 Handan Road, Fudan University, Shanghai, China E-mail：edcam@fudan.edu.cn
    Designed by Beijing E-Tiller Co.,Ltd.