Lozi-like maps

M Misiurewicz, S Štimac - arXiv preprint arXiv:1705.08511, 2017 - arxiv.org
… 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 …

Tangential homoclinic points for Lozi maps

KK Kvaternik - arXiv preprint arXiv:2412.12536, 2024 - arxiv.org
… For the family of Lozi maps, we study homoclinic points for the saddle fixed point X in the
first quadrant. Specifically, in the parameter space, we examine the boundary of the region in …

[图书][B] Lozi Mappings: Theory and Applications

Z Elhadj - 2013 - books.google.com
maps can jump from zero to a value above 0.1203 as one crosses a particular parameter
and hence it is not upper semi-continuous in general” (IB Yildiz), or “Certain Lozi-like maps

Coexistence of Thread and Sheet Chaotic Attractors for Three-Dimensional Lozi Map

R Lozi - Dynamics, 2023 - mdpi.com
… a map: topological generalization (Lozi-like map), geometrical generalization (Lozi-type map
, non-conventional generalization, and networks of Lozi maps with chimera. In Section 3, we …

Survey of recent applications of the chaotic lozi map

R Lozi - Algorithms, 2023 - mdpi.com
… Borinski and Stimac [29] showed that Hénon-like and Lozi-like maps (see [2] for a definition
of such maps) on their strange attractors are conjugate to natural extensions of maps on …

Coexistence of Thread and Sheet Chaotic Attractors for Three Dimensional Lozi Map

L René - 2023 - preprints.org
map: topological generalizations (Lozi-like map), 32 geometrical generalization (Lozi-type
map)… more, fractal generalization, non-conventional generalization and networks of Lozi maps

Strange attractors for the family of orientation preserving Lozi maps

P Kucharski - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
… to counterpart results of the orientation preserving Hénon maps. One should also mention a
… to the border collision normal form or Lozi-like maps. Therefore, we believe that a proof that …

Densely branching trees as models for Hénon-like and Lozi-like attractors

J Boroński, S Štimac - Advances in Mathematics, 2023 - Elsevier
… Inspired by a recent work of Crovisier and Pujals on mildly dissipative diffeomorphisms of
the plane, we show that Hénon-like and Lozi-like maps on their strange attractors are …

Critical points in higher dimensions, I: Reverse order of periodic orbit creations in the Lozi family

DS Ou - arXiv preprint arXiv:2203.02326, 2022 - arxiv.org
… Thus, the (𝑚 + 𝑛)-fold iterate 𝚲𝑚+𝑛 : 𝐶𝑑 𝑚,𝑛 → 𝑈𝑑 𝑚,𝑛 forms a “Lozi-like map” in a
microscopic scale. If 𝐶𝑑 𝑚,𝑛 ∩𝑈𝑑 𝑚,𝑛 ≠ ∅, then the orbit of a point in 𝐶𝑑 𝑚,𝑛 may have a …

Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

E Rybalova, V Averyanov, R Lozi, G Strelkova - Chaos, Solitons & Fractals, 2024 - Elsevier
… single Hénon–Lozi map and networks of nonlocally coupled Hénon–Lozi maps. It is shown
map which combines the dynamical peculiarities of the Lozi map and the Hénon map, both …