Period doubling, entropy, and renormalization

Hu, Jun ; Tresser, Charles

Fundamenta Mathematicae, Tome 158 (1998), p. 237-249 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that in any family of stunted sawtooth maps, the set of maps whose set of periods is the set of all powers of 2 has no interior point. Similar techniques then allow us to show that, under mild assumptions, smooth multimodal maps whose set of periods is the set of all powers of 2 are infinitely renormalizable with the diameters of all periodic intervals going to zero as the period goes to infinity.

Détail

Publié le : 1998-01-01

Zbl 0957.37036

EUDML-ID : urn:eudml:doc:212254

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