On the maximal invariant set for the map X² - 2 restricted to intervals
DOI:
https://doi.org/10.22199/issn.0717-6279-2021-02-0018Keywords:
Chaos, Tent maps, Maximal invariant, Unimodal maps, Quadratic mapsAbstract
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.
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Copyright (c) 2021 Dušan Bednařík, Diego Marques, Carlos Gustavo Tamm de Araujo Moreira, Pavel Trojovský
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