Lozi-like maps
Dynamical Systems
2017-05-25 v1
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.
Cite
@article{arxiv.1705.08511,
title = {Lozi-like maps},
author = {Michal Misiurewicz and Sonja Štimac},
journal= {arXiv preprint arXiv:1705.08511},
year = {2017}
}