Period doubling, entropy, and renormalization

• Autorzy: Jun Hu , Charles Tresser
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 155
• Numer: 3
• Strony: 237-249

Daty

wydano

1998

otrzymano

1996-08-18

poprawiono

1997-10-13

Twórcy

autor

Jun Hu

• Department of Mathematics, Rutgers University, Newark, New Jersey 07102, U.S.A.

autor

Charles Tresser

• IBM, P.O. Box 218, Yorktown Heights, New York 10598, U.S.A.

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