A note on the set of periods for continuous maps of the circle which have degree one

Authors:
Lluís Alsedà and Jaume Llibre

Journal:
Proc. Amer. Math. Soc. **93** (1985), 133-138

MSC:
Primary 58F20; Secondary 54F62, 54H20

DOI:
https://doi.org/10.1090/S0002-9939-1985-0766543-8

MathSciNet review:
766543

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Abstract: The main result of this paper is to complete Misiurewicz's characterization of the set of periods of a continuous map of the circle with degree one (which depends on the rotation interval of ). As a corollary we obtain a kind of perturbation theorem for maps of the circle of degree one, and a new algorithm to compute the set of periods when the rotation interval is known.

Also, for maps of degree one which have a fixed point, we describe the relationship between the characterizations of the set of periods of Misiurewicz and Block.

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DOI:
https://doi.org/10.1090/S0002-9939-1985-0766543-8

Article copyright:
© Copyright 1985
American Mathematical Society