Browsing by Subject "twist homoclinic itinerary"

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    Rotation sets for unimodal maps of the interval
    (American Institute of Mathematical Sciences, 2003-02) Cleveland, Christopher; Mathematical Sciences, School of Science
    We 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.