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arXiv · 2302.04342

Graph and backward asymptotics of the tent map

Ana Anusic·Roberto De Leo
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Abstract

The tent map family is arguably the simplest 1-parametric family of maps with non-trivial dynamics and it is still an active subject of research. In recent works the second author, jointly with J. Yorke, studied the graph and backward limits of S-unimodal maps. In this article we generalize those results to tent-like unimodal maps. By tent-like here we mean maps that share fundamental properties that characterize tent maps, namely unimodal maps without wandering intervals nor attracting cycles and whose graph has a finite number of nodes.

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Ana Anusic, Roberto De Leo. 2023-02-08. Graph and backward asymptotics of the tent map. https://arxiv.org/abs/2302.04342

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