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arXiv · 1705.08511

Lozi-like maps

Michal Misiurewicz·Sonja Štimac
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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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Michal Misiurewicz, Sonja Štimac. 2017-05-23. Lozi-like maps. https://arxiv.org/abs/1705.08511

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