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The Strongly Simple Cycles with Given Rotation Pairs of an Interval Map

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Abstract

In this paper, we introduce the notion of the strongly simple cycles with some rotation pair for interval maps and prove that, if an interval map has a cycle with given rotation pair, then it has a strongly simple cycle with the same rotation pair.

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References

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Authors and Affiliations

  1. Department of Mathematics, Guangxi University, Nanning 530004, P. R. China

    Tai Xiang Sun

  2. Department of Mathematics, Guangxi College of Finance and Economics, Nanning 530004, P. R. China

    Hong Jian Xi

  3. Department of Mathematics, Guangxi University, Nanning 530004, P. R. China

    Xiao Yan Zhang

Authors
  1. Tai Xiang Sun
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  2. Hong Jian Xi
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  3. Xiao Yan Zhang
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Corresponding author

Correspondence to Tai Xiang Sun.

Additional information

Project Supported by NNSF (10461001, 10361001) and GNSF (0447004)

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Sun, T.X., Xi, H.J. & Zhang, X.Y. The Strongly Simple Cycles with Given Rotation Pairs of an Interval Map. Acta Math Sinica 23, 37–40 (2007). https://doi.org/10.1007/s10114-005-0803-2

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  • DOI: https://doi.org/10.1007/s10114-005-0803-2

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