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
Materias:	Chaos Tent maps Maximal invariant Unimodal maps Quadratic maps
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200305
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spelling	oai:scielo:S0716-091720210002003052021-04-03On the maximal invariant set for the map x 2 - 2 restricted to intervalsBednařík,DušanMarques,DiegoMoreira,Carlos GustavoTrojovský,Pavel Chaos Tent maps Maximal invariant Unimodal maps Quadratic maps 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200305en10.22199/issn.0717-6279-2021-02-0018
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Chaos Tent maps Maximal invariant Unimodal maps Quadratic maps
spellingShingle	Chaos Tent maps Maximal invariant Unimodal maps Quadratic maps Bednařík,Dušan Marques,Diego Moreira,Carlos Gustavo Trojovský,Pavel On the maximal invariant set for the map x 2 - 2 restricted to intervals
description	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.
author	Bednařík,Dušan Marques,Diego Moreira,Carlos Gustavo Trojovský,Pavel
author_facet	Bednařík,Dušan Marques,Diego Moreira,Carlos Gustavo Trojovský,Pavel
author_sort	Bednařík,Dušan
title	On the maximal invariant set for the map x 2 - 2 restricted to intervals
title_short	On the maximal invariant set for the map x 2 - 2 restricted to intervals
title_full	On the maximal invariant set for the map x 2 - 2 restricted to intervals
title_fullStr	On the maximal invariant set for the map x 2 - 2 restricted to intervals
title_full_unstemmed	On the maximal invariant set for the map x 2 - 2 restricted to intervals
title_sort	on the maximal invariant set for the map x 2 - 2 restricted to intervals
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200305
work_keys_str_mv	AT bedna345ikdu353an onthemaximalinvariantsetforthemapx22restrictedtointervals AT marquesdiego onthemaximalinvariantsetforthemapx22restrictedtointervals AT moreiracarlosgustavo onthemaximalinvariantsetforthemapx22restrictedtointervals AT trojovskypavel onthemaximalinvariantsetforthemapx22restrictedtointervals
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On the maximal invariant set for the map x 2 - 2 restricted to intervals

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