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Model shift and strange attractor on Möbius strip

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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 Möbius strip was given. Its attractors' structure and dynamical behaviour were described.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, 200436, Shanghai, P.R. China

    Chen Fang-yue

  2. Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, Zhejiang, P.R. China

    Chen Fang-yue & Chen Feng-juan

Authors
  1. Chen Fang-yue
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  2. Chen Feng-juan
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Additional information

Communicated by LIU Zeng-rong

Biographies: Cuphen Fang-yue (1956≈), Professor, Doctor (E-mail: jhcfy@mail.jhptt.zj.cn) CHEN Feng-juan (1971≈), Lecturer, Master (E-mail:chengfj@mail.zjnu.net.cn)

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Fang-yue, C., Feng-juan, C. Model shift and strange attractor on Möbius strip. Appl Math Mech 24, 845–852 (2003). https://doi.org/10.1007/BF02437817

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  • DOI: https://doi.org/10.1007/BF02437817

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