Discrete Melnikov functions

We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. From the study of some variational equations of low order, we obtain succes...

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Detalles Bibliográficos
Autores: Gasull, A., Valls, C.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/535429
Acceso en línea:http://hdl.handle.net/2072/535429
Access Level:acceso abierto
Palabra clave:bifurcation
difference equations
Discrete non-autonomous dynamical systems
Melnikov functions
periodic sequences
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spelling Discrete Melnikov functionsGasull, A.Valls, C.bifurcationdifference equationsDiscrete non-autonomous dynamical systemsMelnikov functionsperiodic sequencesWe consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. From the study of some variational equations of low order, we obtain successive maps, that we call discrete Melnikov functions, such that the simple zeroes of the first one that is not identically zero control the initial conditions that persist as N-periodic sequences of the perturbed discrete dynamical system. We apply these results to several examples, including some Abel-type discrete dynamical systems and some non-autonomous perturbed globally periodic difference equations. © 2021 Informa UK Limited, trading as Taylor & Francis Group.PID2019-104658GB-I00; Fundação para a Ciência e a Tecnologia, FCT; Generalitat de Catalunya: 2017-SGR-1617; Agència de Gestió d'Ajuts Universitaris i de Recerca, AGAUR; Universidade Nova de Lisboa, UNL: UID/MAT/04459/2013Taylor and Francis Ltd.2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion12 p.application/pdfhttp://hdl.handle.net/2072/535429RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésJournal of Difference Equations and ApplicationsL'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/5354292026-05-29T05:05:01Z
dc.title.none.fl_str_mv Discrete Melnikov functions
title Discrete Melnikov functions
spellingShingle Discrete Melnikov functions
Gasull, A.
bifurcation
difference equations
Discrete non-autonomous dynamical systems
Melnikov functions
periodic sequences
title_short Discrete Melnikov functions
title_full Discrete Melnikov functions
title_fullStr Discrete Melnikov functions
title_full_unstemmed Discrete Melnikov functions
title_sort Discrete Melnikov functions
dc.creator.none.fl_str_mv Gasull, A.
Valls, C.
author Gasull, A.
author_facet Gasull, A.
Valls, C.
author_role author
author2 Valls, C.
author2_role author
dc.subject.none.fl_str_mv bifurcation
difference equations
Discrete non-autonomous dynamical systems
Melnikov functions
periodic sequences
topic bifurcation
difference equations
Discrete non-autonomous dynamical systems
Melnikov functions
periodic sequences
description We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. From the study of some variational equations of low order, we obtain successive maps, that we call discrete Melnikov functions, such that the simple zeroes of the first one that is not identically zero control the initial conditions that persist as N-periodic sequences of the perturbed discrete dynamical system. We apply these results to several examples, including some Abel-type discrete dynamical systems and some non-autonomous perturbed globally periodic difference equations. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/535429
url http://hdl.handle.net/2072/535429
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Difference Equations and Applications
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 12 p.
application/pdf
dc.publisher.none.fl_str_mv Taylor and Francis Ltd.
publisher.none.fl_str_mv Taylor and Francis Ltd.
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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