Vanishing set of inverse Jacobi multipliers and attractor/repeller sets

In this paper we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles and monodromic attractor graphics...

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Autores: García, I. A. (Isaac A.), Giné, Jaume, Llibre, Jaume, Maza Sabido, Susanna
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/71032
Acesso em linha:https://doi.org/10.1063/5.0020360
http://hdl.handle.net/10459.1/71032
Access Level:acceso abierto
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spelling Vanishing set of inverse Jacobi multipliers and attractor/repeller setsGarcía, I. A. (Isaac A.)Giné, JaumeLlibre, JaumeMaza Sabido, SusannaIn this paper we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles and monodromic attractor graphics. Taking different flows on the torus and the sphere as canonical examples of attractor/repeller sets with different topologies, several examples are constructed illustrating the results presented.I.A.G., J.G., and S.M. are partially supported by Ministerio de Ciencia, Innovación y Universidades under Grant No. MTM2017-84383-P and by AGAUR under Grant No. 2017SGR-1276. J.L. is partially supported by Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación under Grant No. MTM2016-77278-P (FEDER), the Agència de Gestió d’Ajuts Universitaris i de Recerca under Grant No. 2017SGR1617, and the H2020 European Research Council under Grant No. MSCA-RISE-2017-777911.American Institute of Physics2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1063/5.0020360http://hdl.handle.net/10459.1/71032reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-Pinfo:eu-repo/grantAgreement/MINECO//MTM2016-77278-PReproducció del document publicat a: https://doi.org/10.1063/5.0020360Chaos, 2021, vol. 31, 013113info:eu-repo/grantAgreement/EC/H2020/777911(c) AIP, authors, 2021info:eu-repo/semantics/openAccessoai:repositori.udl.cat:10459.1/710322026-06-24T12:42:17Z
dc.title.none.fl_str_mv Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
title Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
spellingShingle Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
García, I. A. (Isaac A.)
title_short Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
title_full Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
title_fullStr Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
title_full_unstemmed Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
title_sort Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
dc.creator.none.fl_str_mv García, I. A. (Isaac A.)
Giné, Jaume
Llibre, Jaume
Maza Sabido, Susanna
author García, I. A. (Isaac A.)
author_facet García, I. A. (Isaac A.)
Giné, Jaume
Llibre, Jaume
Maza Sabido, Susanna
author_role author
author2 Giné, Jaume
Llibre, Jaume
Maza Sabido, Susanna
author2_role author
author
author
description In this paper we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles and monodromic attractor graphics. Taking different flows on the torus and the sphere as canonical examples of attractor/repeller sets with different topologies, several examples are constructed illustrating the results presented.
publishDate 2021
dc.date.none.fl_str_mv 2021
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/10.1063/5.0020360
http://hdl.handle.net/10459.1/71032
url https://doi.org/10.1063/5.0020360
http://hdl.handle.net/10459.1/71032
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P
info:eu-repo/grantAgreement/MINECO//MTM2016-77278-P
Reproducció del document publicat a: https://doi.org/10.1063/5.0020360
Chaos, 2021, vol. 31, 013113
info:eu-repo/grantAgreement/EC/H2020/777911
dc.rights.none.fl_str_mv (c) AIP, authors, 2021
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) AIP, authors, 2021
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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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score 15.811543

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