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arXiv · 1912.06293

Recoding the Classic H\'enon-Devaney Map

Fernando Lenarduzzi
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Abstract

In this work we are going to consider the classical H\'enon-Devaney map given by \begin{eqnarray*} f: \mathbb{R}^2\setminus \{y=0\} &\rightarrow& \mathbb{R}^2 \\ (x,y) &\mapsto& \left(x+\dfrac{1}{y}, y-\dfrac{1}{y}-x\right) \end{eqnarray*} We are going to construct conjugacy to a subshift of finite type, providing a global understanding of the map's behavior.We extend the coding to a more general class of maps that can be seen as a map in a square with a fixed discontinuity.

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Fernando Lenarduzzi. 2019-12-13. Recoding the Classic H\'enon-Devaney Map. https://arxiv.org/abs/1912.06293

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