Lozi-like maps
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Date
2018-06
Language
English
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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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Misiurewicz, M., Štimac, S. (2018). Lozi-like maps. Discrete & Continuous Dynamical Systems - A, 38(6), 2965–2985. https://doi.org/10.3934/dcds.2018127
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Discrete & Continuous Dynamical Systems - A
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ArXiv
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