Cleveland, Christopher2020-12-232020-12-232003-02Christopher Cleveland. Rotation sets for unimodal maps of the interval. Discrete & Continuous Dynamical Systems - A, 2003, 9 (3) : 617-632. doi: 10.3934/dcds.2003.9.617https://hdl.handle.net/1805/24713We 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.enAttribution 4.0 Internationaltwist itinerarytwist homoclinic itinerarypatternunimodal mapArticle