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Periodic points and topological entropy of one dimensional maps

Part of the Lecture Notes in Mathematics book series (LNM,volume 819)

Keywords

  • Real Line
  • Characteristic Polynomial
  • Periodic Point
  • Rotation Number
  • Topological Entropy

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References

  1. L. Block-Periodic orbits of continuous mappings of the circle.

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  2. R. Bowen and J. Franks-The periodic points of maps of the disk and the interval, Topology 15, 337–342, 1976.

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  4. L. Jonker, D. A. Rand-A lower bound for the entropy of certain maps of the unit interval, Preprint, University of Warwick.

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  5. J. Milnor, P. Thurston-Kneading Theory, Preprint, Princeton.

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  6. M. Misiurewicz, W. Szlenk-Entropy of piecewise monotone mappings. Studia Math. 67, to appear.

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  7. A. N. Šarkovskii-Coexistence of cycles of a continuous map of a line into itself, Ukr. Mat. Z. 16, 61–71, 1964.

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© 1980 Springer-Verlag

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Block, L., Guckenheimer, J., Misiurewicz, M., Young, L.S. (1980). Periodic points and topological entropy of one dimensional maps. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086977

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  • DOI: https://doi.org/10.1007/BFb0086977

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

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