On the Entropy of Flows with Reparametrized Gluing Orbit Property

Abstract

We show that a flow or a semiflow with a weak form of reparametrized gluing orbit property has positive topological entropy if it is not minimal.

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Acknowledgements

The author would like to thank Paulo Varandas, Xueting Tian, and the anonymous referees for their helpful comments and suggestions.

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Correspondence to Peng Sun 孙鸸.

Additional information

Peng Sun is supported by National Natural Science Foundation of China (11571387) and CUFE Young Elite Teacher Project (QYP1902).

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Sun, P. On the Entropy of Flows with Reparametrized Gluing Orbit Property. Acta Math Sci 40, 855–862 (2020). https://doi.org/10.1007/s10473-020-0318-z

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Key words

  • Flow
  • gluing orbit property
  • reparametrization
  • minimality
  • topological entropy

2010 MR Subject Classification

  • 37B05
  • 37B40
  • 37C50