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Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy

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Abstract

A class of minimal subshifts which display Schweizer-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer-Smital chaos occurring on the measure centre.

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Authors and Affiliations

  1. Department of Mathematics, Jilin University, 130023, Changchun, China

    Liao Gongfu

  2. Department of Mathematics, Siping Teachers College, 136000, Siping, China

    Fan Qinjie

Authors
  1. Liao Gongfu
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  2. Fan Qinjie
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Additional information

Project supported by the National Natural Science Foundation of China.

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Gongfu, L., Qinjie, F. Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy. Sci. China Ser. A-Math. 41, 33–38 (1998). https://doi.org/10.1007/BF02900769

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  • DOI: https://doi.org/10.1007/BF02900769

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