Lozi-like maps

2017/05/23 by Michał Misiurewicz, Misiurewicz, Michal, Sonja Štimac +1
Mathematics · Physics and Astronomy · #37B10 #37D45 #37E30 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1705.08511

openalex publication_date 2017/05/23 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28

Abstract

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.

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