2023/02/09 by Przemysław Kucharski, Kucharski, Przemysław
Arts and Humanities · Mathematics · Physics and Astronomy · #37D45 #37E20 #Advanced Differential Geometry Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Renaissance Literature and Culture
paper · pdf · doi:10.48550/arxiv.2302.04641
openalex publication_date 2023/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the Lozi-like family introduced in Misiurewicz and Štimac 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.