On the maximal invariant set for the map x 2 - 2 restricted to intervals

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) = x 2 − 2 (restric...

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Autores principales: Bednařík,Dušan, Marques,Diego, Moreira,Carlos Gustavo, Trojovský,Pavel
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200305
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Sumario: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) = x 2 − 2 (restricted to an interval) has a chaotic behavior.