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  • Research Article
  • Open Access

Periodic Orbits with Least Period Three on the Circle

Fixed Point Theory and Applications20072008:194875

  • Received: 19 August 2007
  • Accepted: 3 December 2007
  • Published:


The self-maps on the circle having periodic orbits with least period 3 are classified into relative homotopy-conjugacy classes. We will show that except for the maps in one exceptional class, all these kinds of maps have periodic orbits with all least periods but 2. Thus, a kind of Sharkovskii's type theorem on the circle is obtained.


  • Periodic Orbit
  • Differential Geometry
  • Computational Biology
  • Full Article
  • Type Theorem

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Authors’ Affiliations

Department of Mathematics, Capital Normal University, Beijing, 100037, China