Dušan Bednařík, Diego Marques, Carlos Gustavo Tamm de Araujo Moreira, Pavel Trojovský
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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