Rotation sets for unimodal maps of the interval

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dc.contributor.authorCleveland, Christopher
dc.contributor.departmentMathematical Sciences, School of Scienceen_US
dc.date.accessioned2020-12-23T15:18:17Z
dc.date.available2020-12-23T15:18:17Z
dc.date.issued2003-02
dc.description.abstractWe relate the rotation interval ρ(f) of a unimodal map f of the interval with its kneading invariant K(f). In particular, we show that for any μ∈(0,12), there are kneading invariants νμ and νμ,hom such that ρ(f)=[μ,12] if and only if νμ⪯K(f)⪯νμ,hom.en_US
dc.eprint.versionFinal published versionen_US
dc.identifier.citationChristopher Cleveland. Rotation sets for unimodal maps of the interval. Discrete & Continuous Dynamical Systems - A, 2003, 9 (3) : 617-632. doi: 10.3934/dcds.2003.9.617en_US
dc.identifier.urihttps://hdl.handle.net/1805/24713
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.isversionof10.3934/dcds.2003.9.617en_US
dc.relation.journalDiscrete and Continuous Dynamical Systemsen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0*
dc.sourcePublisheren_US
dc.subjecttwist itineraryen_US
dc.subjecttwist homoclinic itineraryen_US
dc.subjectpatternen_US
dc.subjectunimodal mapen_US
dc.titleRotation sets for unimodal maps of the intervalen_US
dc.typeArticleen_US
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