Strange attractors for the generalized Lozi-like family
Dynamical Systems
2023-08-16 v2
Abstract
We generalize the Lozi-like family introduced in Misiurewicz and \v{S}timac work from 2017. The generalized Lozi-like family encompasses in particular certain Lozi-like maps, orientation preserving or reversing Lozi maps or large parameter regions of 2-dimensional border collision normal forms. We prove that it possesses a strange attractor, arising as a homoclinic class.
Keywords
Cite
@article{arxiv.2302.04641,
title = {Strange attractors for the generalized Lozi-like family},
author = {Przemysław Kucharski},
journal= {arXiv preprint arXiv:2302.04641},
year = {2023}
}