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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Format: | Article |
Language: | English |
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Wiley
2004-01-01
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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. |
format | Article |
id | doaj-art-632be00a930b416f911ccd925dba8897 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
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 |