On 2- and 3-periodic Lyness difference equations

We describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial conditions x1; x2 are also positive. We also show an interesting phenomenon of t...

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Detalles Bibliográficos
Autores: Cima Mollet, Anna, Gasull Embid, Armengol, Mañosa Fernández, Víctor|||0000-0002-5082-3334
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/13175
Acceso en línea:https://hdl.handle.net/2117/13175
https://dx.doi.org/10.1080/10236198.2010.524212
Access Level:acceso abierto
Palabra clave:Difference equations
Difference equations with periodic coefficients
Circle maps
Rotation number
Equacions en diferències
Classificació AMS::39 Difference and functional equations::39A Difference equations
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
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spelling On 2- and 3-periodic Lyness difference equationsCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, Víctor|||0000-0002-5082-3334Difference equationsDifference equations with periodic coefficientsCircle mapsRotation numberEquacions en diferènciesClassificació AMS::39 Difference and functional equations::39A Difference equationsÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferènciesWe describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial conditions x1; x2 are also positive. We also show an interesting phenomenon of the discrete dynamical systems associated with some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behaviour does not appear for the autonomous Lyness difference equationsPeer Reviewed20112011-06-0920112011-09-09journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/13175https://dx.doi.org/10.1080/10236198.2010.524212reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/131752026-05-27T15:37:01Z
dc.title.none.fl_str_mv On 2- and 3-periodic Lyness difference equations
title On 2- and 3-periodic Lyness difference equations
spellingShingle On 2- and 3-periodic Lyness difference equations
Cima Mollet, Anna
Difference equations
Difference equations with periodic coefficients
Circle maps
Rotation number
Equacions en diferències
Classificació AMS::39 Difference and functional equations::39A Difference equations
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
title_short On 2- and 3-periodic Lyness difference equations
title_full On 2- and 3-periodic Lyness difference equations
title_fullStr On 2- and 3-periodic Lyness difference equations
title_full_unstemmed On 2- and 3-periodic Lyness difference equations
title_sort On 2- and 3-periodic Lyness difference equations
dc.creator.none.fl_str_mv Cima Mollet, Anna
Gasull Embid, Armengol
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author Cima Mollet, Anna
author_facet Cima Mollet, Anna
Gasull Embid, Armengol
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author_role author
author2 Gasull Embid, Armengol
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author2_role author
author
dc.subject.none.fl_str_mv Difference equations
Difference equations with periodic coefficients
Circle maps
Rotation number
Equacions en diferències
Classificació AMS::39 Difference and functional equations::39A Difference equations
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
topic Difference equations
Difference equations with periodic coefficients
Circle maps
Rotation number
Equacions en diferències
Classificació AMS::39 Difference and functional equations::39A Difference equations
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
description We describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial conditions x1; x2 are also positive. We also show an interesting phenomenon of the discrete dynamical systems associated with some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behaviour does not appear for the autonomous Lyness difference equations
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-06-09
2011
2011-09-09
dc.type.none.fl_str_mv journal 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://hdl.handle.net/2117/13175
https://dx.doi.org/10.1080/10236198.2010.524212
url https://hdl.handle.net/2117/13175
https://dx.doi.org/10.1080/10236198.2010.524212
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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