Lower bounds of the topological entropy for continuous maps of the circle of degree one

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Abstract

The authors give the best lower bound of the topological entropy of a continuous map of the circle of degree one, as a function of the rotation interval. Also, they obtain as a corollary the theorem of Ito (1982) which gives the best lower bound of the topological entropy depending on the set of periods. © 1988 IOP Publishing Ltd and LMS Publishing Ltd.
Original languageEnglish
Pages (from-to)463-479
JournalNonlinearity
Volume1
DOIs
Publication statusPublished - 1 Jan 1988

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