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arXiv · 1601.01745

Symbolic dynamics for Lozi maps

Michal Misiurewicz·Sonja Stimac
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Abstract

In this paper we study the family of the Lozi maps $L_{a,b} : {\mathbb R}^2 \to {\mathbb R}^2$, $L_{a,b} = (1 + y - a|x|, bx)$, and their strange attractors $Λ_{a,b}$. We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent approaches.

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Michal Misiurewicz, Sonja Stimac. 2016-01-08. Symbolic dynamics for Lozi maps. https://doi.org/10.1088/0951-7715%2F29%2F10%2F3031

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