Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields

We analyze the role that non-autonomous (and not necessarily periodic) inverse Jacobi multipliers have in the problem of the nonexistence, existence and localization as well as the hyperbolic nature of periodic orbits of planar vector fields. This work generalizes and extends previous results alread...

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Detalles Bibliográficos
Autores: García, I. A. (Isaac A.), Maza Sabido, Susanna
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/464835
Acceso en línea:https://doi.org/10.1016/j.cnsns.2023.107735
https://hdl.handle.net/10459.1/464835
Access Level:acceso abierto
Palabra clave:Planar vector fields
Inverse Jacobi multiplier
Periodic orbit
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spelling Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fieldsGarcía, I. A. (Isaac A.)Maza Sabido, SusannaPlanar vector fieldsInverse Jacobi multiplierPeriodic orbitWe analyze the role that non-autonomous (and not necessarily periodic) inverse Jacobi multipliers have in the problem of the nonexistence, existence and localization as well as the hyperbolic nature of periodic orbits of planar vector fields. This work generalizes and extends previous results already appearing in the literature which are only focusing in the autonomous or periodic case. Therefore we are able to provide novel applications of inverse Jacobi multipliers.Elsevier2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1016/j.cnsns.2023.107735https://hdl.handle.net/10459.1/464835reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)InglésReproducció del document publicat a https://doi.org/10.1016/j.cnsns.2023.107735Communications in Nonlinear Science and Numerical Simulation, 2023, vol. 130, 107735cc-by (c) Isaac A. García, Susanna Maza, 2024Attribution 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:repositori.udl.cat:10459.1/4648352026-06-24T12:42:17Z
dc.title.none.fl_str_mv Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
title Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
spellingShingle Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
García, I. A. (Isaac A.)
Planar vector fields
Inverse Jacobi multiplier
Periodic orbit
title_short Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
title_full Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
title_fullStr Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
title_full_unstemmed Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
title_sort Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields
dc.creator.none.fl_str_mv García, I. A. (Isaac A.)
Maza Sabido, Susanna
author García, I. A. (Isaac A.)
author_facet García, I. A. (Isaac A.)
Maza Sabido, Susanna
author_role author
author2 Maza Sabido, Susanna
author2_role author
dc.subject.none.fl_str_mv Planar vector fields
Inverse Jacobi multiplier
Periodic orbit
topic Planar vector fields
Inverse Jacobi multiplier
Periodic orbit
description We analyze the role that non-autonomous (and not necessarily periodic) inverse Jacobi multipliers have in the problem of the nonexistence, existence and localization as well as the hyperbolic nature of periodic orbits of planar vector fields. This work generalizes and extends previous results already appearing in the literature which are only focusing in the autonomous or periodic case. Therefore we are able to provide novel applications of inverse Jacobi multipliers.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/j.cnsns.2023.107735
https://hdl.handle.net/10459.1/464835
url https://doi.org/10.1016/j.cnsns.2023.107735
https://hdl.handle.net/10459.1/464835
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a https://doi.org/10.1016/j.cnsns.2023.107735
Communications in Nonlinear Science and Numerical Simulation, 2023, vol. 130, 107735
dc.rights.none.fl_str_mv cc-by (c) Isaac A. García, Susanna Maza, 2024
Attribution 4.0 International
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
rights_invalid_str_mv cc-by (c) Isaac A. García, Susanna Maza, 2024
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
repository.name.fl_str_mv
repository.mail.fl_str_mv
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