Asymptotic dynamics of a difference equation with a parabolic equilibrium

The aim of this work is the study of the asymptotic dynamical behaviour, of solutions that approach parabolic fixed points in difference equations. In one dimensional difference equations, we present the asymptotic development for positive solutions tending to the fixed point. For higher dimensions,...

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Autores: Coll, Bartomeu|||0000-0002-1309-2544, Gasull, Armengol|||0000-0002-1719-8231, Prohens, Rafel|||0000-0003-1184-6311
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:232166
Acceso en línea:https://ddd.uab.cat/record/232166
https://dx.doi.org/urn:doi:10.1007/s12346-020-00406-0
Access Level:acceso abierto
Palabra clave:Difference equations
Parabolic equilibrium
Asymptotic development
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spelling Asymptotic dynamics of a difference equation with a parabolic equilibriumColl, Bartomeu|||0000-0002-1309-2544Gasull, Armengol|||0000-0002-1719-8231Prohens, Rafel|||0000-0003-1184-6311Difference equationsParabolic equilibriumAsymptotic developmentThe aim of this work is the study of the asymptotic dynamical behaviour, of solutions that approach parabolic fixed points in difference equations. In one dimensional difference equations, we present the asymptotic development for positive solutions tending to the fixed point. For higher dimensions, through the study of two families of difference equations in the two and three dimensional case, we take a look at the asymptotic dynamic behaviour. To show the existence of solutions we rely on the parametrization method. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/232166https://dx.doi.org/urn:doi:10.1007/s12346-020-00406-0reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2017-83568-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2014-54275-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2321662026-06-06T12:50:31Z
dc.title.none.fl_str_mv Asymptotic dynamics of a difference equation with a parabolic equilibrium
title Asymptotic dynamics of a difference equation with a parabolic equilibrium
spellingShingle Asymptotic dynamics of a difference equation with a parabolic equilibrium
Coll, Bartomeu|||0000-0002-1309-2544
Difference equations
Parabolic equilibrium
Asymptotic development
title_short Asymptotic dynamics of a difference equation with a parabolic equilibrium
title_full Asymptotic dynamics of a difference equation with a parabolic equilibrium
title_fullStr Asymptotic dynamics of a difference equation with a parabolic equilibrium
title_full_unstemmed Asymptotic dynamics of a difference equation with a parabolic equilibrium
title_sort Asymptotic dynamics of a difference equation with a parabolic equilibrium
dc.creator.none.fl_str_mv Coll, Bartomeu|||0000-0002-1309-2544
Gasull, Armengol|||0000-0002-1719-8231
Prohens, Rafel|||0000-0003-1184-6311
author Coll, Bartomeu|||0000-0002-1309-2544
author_facet Coll, Bartomeu|||0000-0002-1309-2544
Gasull, Armengol|||0000-0002-1719-8231
Prohens, Rafel|||0000-0003-1184-6311
author_role author
author2 Gasull, Armengol|||0000-0002-1719-8231
Prohens, Rafel|||0000-0003-1184-6311
author2_role author
author
dc.subject.none.fl_str_mv Difference equations
Parabolic equilibrium
Asymptotic development
topic Difference equations
Parabolic equilibrium
Asymptotic development
description The aim of this work is the study of the asymptotic dynamical behaviour, of solutions that approach parabolic fixed points in difference equations. In one dimensional difference equations, we present the asymptotic development for positive solutions tending to the fixed point. For higher dimensions, through the study of two families of difference equations in the two and three dimensional case, we take a look at the asymptotic dynamic behaviour. To show the existence of solutions we rely on the parametrization method.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/232166
https://dx.doi.org/urn:doi:10.1007/s12346-020-00406-0
url https://ddd.uab.cat/record/232166
https://dx.doi.org/urn:doi:10.1007/s12346-020-00406-0
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 MTM2017-83568-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2014-54275-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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