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The simple periodic orbits in the unimodal maps

  • Llufs Alsedà
  • Rafael Serra
Seminars and Communications
Part of the Lecture Notes in Physics book series (LNP, volume 179)

Keywords

Dynamical System Periodic Orbit Real Line Dynamique Chaotique 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.

References

  1. 1.
    Ll. Alseda and J. Llibre, Minimal periodic orbits and topological entropy for one dimensional maps, preprint, Barcelona, 1981.Google Scholar
  2. 2.
    L. Blok, Simple periodic orbits of mappings of the interval. Trans. Amer. Math. Soc. 254 (1979),391–398.Google Scholar
  3. 3.
    P. Collet and J.P.Eckmann.Iterated maps on the interval as dynamical systems, Birkhäuser, Boston, 1980.Google Scholar
  4. 4.
    J. Llibre, On the rotation sequences of the unimodal maps, preprint Barcelona, 1982.Google Scholar
  5. 5.
    Ch. Mira and I. Gumowski, Dynamique chaotique. Transformations ponctuelles. Transition ordre-désordre. Toulouse, Cépadues, 1980.Google Scholar
  6. 6.
    A. N. Sarkovskii. Coexistence of cycles of a continuous map of a line into itself, Ukr. Math. Z. 16 (1964),61–71.Google Scholar
  7. 7.
    P. Stefan. A theorem of Sarkôvskii on the existence of periodic orbits of continuous endomorphisms of the real line. Comm. Math. Phys. 54 (1977), 237–248.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Llufs Alsedà
    • 1
  • Rafael Serra
    • 2
  1. 1.Departament de Teoria EconòmicaUniversitat Autònoma de BarcelonaBellaterra, BarcelonaSpain
  2. 2.I.N.B. Sant Cugat Sant Cugat del VallèsBarcelonaSpain

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