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Rotation intervals for a family of degree one circle maps

Published online by Cambridge University Press:  19 September 2008

Leo B. Jonker
Leo B. Jonker
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, Ont. K7L 3N6, Canada
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Abstract

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Let f be a C0 circle map of degree one with precisely one local minimum and one local maximum, and let [ρ−(f), ρ+(f)] be the interval of rotation numbers of f. We study the structure of the function ρ(λ) = ρ+(Rλ∘f), where Rλ is the rotation through the angle λ.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 3 , September 1988 , pp. 395 - 409
Copyright
Copyright © Cambridge University Press 1988

References

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