This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

In this paper we study the family of the Lozi maps $ L_ {a, b}:{\mathbb R}^ 2\to {\mathbb R}^
2$, $ L_ {a, b}=(1+ ya| x|, bx) $, and their strange attractors $\Lambda_ {a, b} $. We introduce …

This article contains a proof of the existence of SBR measures for the family of maps of the
plane known as Lozi maps: L (x, y)=(1-alxl+ y, bx). We also prove that the number of SBR …

THE BASIN OF ATTRACTION OF LOZI MAPPINGS Page 1 April 22, 2009 16:9 02346
International Journal of Bifurcation and Chaos, Vol. 19, No. 3 (2009) 1043–1049 c World …

We present and analyze a smooth version of the piecewise linear Lozi map. The principal
motivation for this work is to develop a map, which is better amenable for an analytical …

Ergodic properties of the Lozi mappings Page 1 Commun. Math. Phys. 93, 461481 (1984)
Communications in Mathematical Physics © Springer-Verlag 1984 Ergodic Properties of the …

We consider the well-known Lozi map, which is a 2D piecewise linear map depending on
two parameters. This map can be considered as a piecewise linear analog of the Hénon …

We construct a kneading theory à la Milnor–Thurston for Lozi mappings (piecewise affine
homeomorphisms of the plane). In the first article a two-dimensional analogue of the …

We extend the result of Michał Misiurewicz assuring the existence of strange attractors for
the parametrized family {f (a, b)} of orientation reversing Lozi maps to the orientation …

In this paper, we prove the existence of a chaotic saddle for a piecewise-linear map of the
plane, referred to as the Lozi map. We study the Lozi map in its orientation and area …