Work

Lozi-like maps

Year: 2017

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1705.08511

Authors: Misiurewicz, Michal, Štimac, Sonja

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Hrvatska Zaklada za Znanost

Award: Geometric, Ergodic and Topological Analysis of Low-dimensional Dynamical Systems

OpenAlex ID: W4294567034

Cites:

Cited by: 1

Related to: 10