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Renormalization Group Analysis of Some Highly Bifurcated Families

  • P. Collet
  • J.-P. Eckmann
  • E. O. Lanford
Conference paper

Abstract

Using a renormalization group technique, we investigate the sequence of bifurcations occurring in a one parameter family of maps on an interval. This analysis provides a proof of the conjectures of Feigenbaum [F].

Keywords

Periodic Orbit Renormalization Group Topological Entropy Stable Periodic Orbit Renormalization Group Analysis 
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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Copyright information

© Springer-Verlag/Wien 1980

Authors and Affiliations

  • P. Collet
    • 1
  • J.-P. Eckmann
    • 2
  • E. O. Lanford
    • 3
  1. 1.Harvard UniversityCambridgeUSA
  2. 2.University of GenevaSwitzerland
  3. 3.University of CaliforniaBerkeleyUSA

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