On the relationship between Lozi maps and max-type difference equations
Dynamical Systems
2022-09-09 v1
Abstract
In the present work we revise a transformation that links generalized Lozi maps with max-type difference equations. In this view, according to the technique of topological conjugation, we relate the dynamics of a concrete Lozi map with a complete uniparametric family of max-equations, and we apply this fact to investigate the dynamics of two particular families. Moreover, we present some numerical simulations related to the topic and, finally, we propose some open problems that look into the relationship established between generalized Lozi maps and max-equations.
Cite
@article{arxiv.2209.03582,
title = {On the relationship between Lozi maps and max-type difference equations},
author = {Antonio Linero Bas and Daniel Nieves Roldán},
journal= {arXiv preprint arXiv:2209.03582},
year = {2022}
}
Comments
30 pages and 12 figures. The final version of the paper will be published in the Journal of Difference Equations and Applications