Kneading theory and rotation intervals for a class of circle maps of degree one

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)

Abstract

The authors give a kneading theory for the class of continuous maps of the circle of degree with a single maximum and a single minimum. For a map of this class they characterise the set of itineraries depending on the rotation interval. From this result they obtain lower and upper bounds of the topological entropy and of the number of periodic orbits of each period. These lower bounds appear to be valid for a general continuous map of the circle of degree one. © 1990 IOP Publishing Ltd.
Original languageEnglish
Pages (from-to)413-452
JournalNonlinearity
Volume3
Issue number2
DOIs
Publication statusPublished - 1 Jan 1990

Fingerprint Dive into the research topics of 'Kneading theory and rotation intervals for a class of circle maps of degree one'. Together they form a unique fingerprint.

Cite this