Journal of Statistical Physics

, Volume 23, Issue 4, pp 521–536 | Cite as

Iterations of transformations on the unit interval: Approach to a periodic attractor

  • Jean Coste
Articles

Abstract

We consider a transformation of the unit interval which exhibits a stable periodic attractor and whose topological entropy is positive. We show that the dynamics leading to this attractor has a statistical character.

Key words

Iteration of transformations attractors periodic orbits Cantor sets invariant measure topological entropy 

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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • Jean Coste
    • 1
  1. 1.Laboratoire de Physique de la Matiére CondenséeNiceFrance

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