Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 845-852.

• 论文 • 上一篇    下一篇

MODEL SHIFT AND STRANGE ATTRACTOR ON MÖBIUS STRIP

陈芳跃1,2, 陈凤娟2   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
    2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China
  • 收稿日期:2002-01-17 修回日期:2003-02-23 出版日期:2003-07-18 发布日期:2003-07-18
  • 通讯作者: LIU Zeng-rong

MODEL SHIFT AND STRANGE ATTRACTOR ON MÖBIUS STRIP

CHEN Fang-yue1,2, CHEN Feng-juan 2   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
    2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China
  • Received:2002-01-17 Revised:2003-02-23 Online:2003-07-18 Published:2003-07-18

摘要: A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors’ structure and dynamical behaviour were described.

Abstract: A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors’ structure and dynamical behaviour were described.

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