Browsing by Subject "attractor"

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    Lozi-like maps
    (AIMS, 2018-06) Misiurewicz, Michał; Štimac, Sonja; Mathematical Sciences, School of Science
    We define a broad class of piecewise smooth plane homeomorphisms which have properties similar to the properties of Lozi maps, including the existence of a hyperbolic attractor. We call those maps Lozi-like. For those maps one can apply our previous results on kneading theory for Lozi maps. We show a strong numerical evidence that there exist Lozi-like maps that have kneading sequences different than those of Lozi maps.