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Journal of Shanghai University（Natural Science Edition）

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Periodic Points and Symbolic Analysis for Some Low-Dimensional -Linear Torus Maps

CHEN Hao-jun1,CHEN Fang-yue1,FU Xin-chu2   

  1. 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China;
    2. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2006-10-26 Revised:1900-01-01 Online:2008-02-28 Published:2008-02-28
  • Contact: FU Xin-chu2

Abstract: In this paper, periodic points of a class of maps on the 2-torus and the dynamics of a class of linear maps on the 3-torus are discussed. Using codes underlying the map operations, symbolic descriptions of the dynamics and admissibility conditions for itineraries are given for these discontinuous maps.

Key words: admissibility condition, symbolic description, symbolic dynamical system, periodic point

CLC Number: