Quadratic regular reversal maps

We study families of quadratic maps in an attempt to understand the role of dependence on parameters of unimodal maps and its relationship with the computer-generated chaos observed in numerical simulations. Our specific goal is to give conditions on this dependence to avoid chaotic situations. We...

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Main Authors: Francisco J. Solis, Lucas Jódar
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/S1026022604311015
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author Francisco J. Solis
Lucas Jódar
author_facet Francisco J. Solis
Lucas Jódar
author_sort Francisco J. Solis
collection DOAJ
description We study families of quadratic maps in an attempt to understand the role of dependence on parameters of unimodal maps and its relationship with the computer-generated chaos observed in numerical simulations. Our specific goal is to give conditions on this dependence to avoid chaotic situations. We show several examples that describe in some generality the qualitative properties of quadratic maps.
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2004-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-632be00a930b416f911ccd925dba88972025-02-03T07:25:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2004-01-012004231532310.1155/S1026022604311015Quadratic regular reversal mapsFrancisco J. Solis0Lucas Jódar1Centro de Investigación en Matemáticas (CIMAT), Guanajuato, Gto. 36000, MexicoInstituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia 46022, SpainWe study families of quadratic maps in an attempt to understand the role of dependence on parameters of unimodal maps and its relationship with the computer-generated chaos observed in numerical simulations. Our specific goal is to give conditions on this dependence to avoid chaotic situations. We show several examples that describe in some generality the qualitative properties of quadratic maps.http://dx.doi.org/10.1155/S1026022604311015
spellingShingle Francisco J. Solis
Lucas Jódar
Quadratic regular reversal maps
Discrete Dynamics in Nature and Society
title Quadratic regular reversal maps
title_full Quadratic regular reversal maps
title_fullStr Quadratic regular reversal maps
title_full_unstemmed Quadratic regular reversal maps
title_short Quadratic regular reversal maps
title_sort quadratic regular reversal maps
url http://dx.doi.org/10.1155/S1026022604311015
work_keys_str_mv AT franciscojsolis quadraticregularreversalmaps
AT lucasjodar quadraticregularreversalmaps