Graph and backward asymptotics of the tent map

Autor: Anusic, Ana, De Leo, Roberto
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 34 pages, 6 figures
Databáze: arXiv