The Combinatorics of One-Dimensional Endomorphisms

  • Welington de Melo
  • Sebastian van Strien
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 25)


In this chapter we will discuss endomorphisms of the circle and of the interval from a combinatorial point of view. The aim is to develop an analogue to the topological description of circle homeomorphisms given in Section I.1. As in that section, the main ingredient here is symbolic dynamics and the structure to be considered is the order structure of the interval or of the circle.


Periodic Orbit Periodic Point Topological Entropy Periodic Attractor Forward Orbit 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Welington de Melo
    • 1
  • Sebastian van Strien
    • 2
  1. 1.Instituto de Matemātica Pura e ApplicadaBrazil
  2. 2.Mathematics DepartmentUniversity of AmsterdamAmsterdamThe Netherlands

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