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

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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 f of the circle with degree one (which depends on the rotation interval of f). 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. © 1985 American Mathematical Society.
Original languageEnglish
Pages (from-to)133-138
JournalProceedings of the American Mathematical Society
Volume93
Issue number1
DOIs
Publication statusPublished - 1 Jan 1985

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