On the maximal invariant set for the map X² - 2 restricted to intervals
Author
Bednařík, Dušan
Marques, Diego
Moreira, Carlos Gustavo Tamm de Araujo
Trojovský, Pavel
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/393010.22199/issn.0717-6279-2021-02-0018
Abstract
In this paper, we study the maximal invariant set of a quadratic family related to a class of unimodal maps. This family is very important and have direct application in many branches of science. In particular, we characterize when the maximal invariant of f(x) = x2 − 2 (restricted to an interval) has a chaotic behavior.