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Periodic points and topological entropy of one dimensional maps

  • Louis Block
  • John Guckenheimer
  • Michal Misiurewicz
  • Lai Sang Young
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 819)

Keywords

Real Line Characteristic Polynomial Periodic Point Rotation Number Topological Entropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    L. Block-Periodic orbits of continuous mappings of the circle.Google Scholar
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    R. Bowen and J. Franks-The periodic points of maps of the disk and the interval, Topology 15, 337–342, 1976.MathSciNetCrossRefzbMATHGoogle Scholar
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    J. Guckenheimer-Bifurcations of maps of the interval, Inventiones Math. 39, 165–178, 1977.ADSMathSciNetCrossRefzbMATHGoogle Scholar
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    L. Jonker, D. A. Rand-A lower bound for the entropy of certain maps of the unit interval, Preprint, University of Warwick.Google Scholar
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    J. Milnor, P. Thurston-Kneading Theory, Preprint, Princeton.Google Scholar
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    M. Misiurewicz, W. Szlenk-Entropy of piecewise monotone mappings. Studia Math. 67, to appear.Google Scholar
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    A. N. Šarkovskii-Coexistence of cycles of a continuous map of a line into itself, Ukr. Mat. Z. 16, 61–71, 1964.Google Scholar
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    P. Štefan-A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line, Comm. Math. Phys. 54, 237–248, 1977.ADSMathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Louis Block
    • 1
    • 2
    • 3
    • 4
  • John Guckenheimer
    • 1
    • 2
    • 3
    • 4
  • Michal Misiurewicz
    • 1
    • 2
    • 3
    • 4
  • Lai Sang Young
    • 1
    • 2
    • 3
    • 4
  1. 1.University of FloridaGainesville
  2. 2.University of CaliforniaSanta Cruz
  3. 3.Institute of MathematicsUniversity of WarsawWarsawPoland
  4. 4.Northwestern UniversityEvanston

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