dc.contributor.author
García, I. A. (Isaac A.)
dc.contributor.author
Giné, Jaume
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Maza Sabido, Susanna
dc.date.accessioned
2024-12-05T21:57:26Z
dc.date.available
2024-12-05T21:57:26Z
dc.date.issued
2021-04-15T11:43:23Z
dc.date.issued
2022-01-01T23:16:41Z
dc.date.issued
2021-01-01
dc.date.issued
2021-04-15T11:43:23Z
dc.identifier
https://doi.org/10.1063/5.0020360
dc.identifier
http://hdl.handle.net/10459.1/71032
dc.identifier.uri
http://hdl.handle.net/10459.1/71032
dc.description.abstract
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.
dc.description.abstract
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.
dc.format
application/pdf
dc.publisher
American Institute of Physics
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P/ES/ORBITAS PERIODICAS E INTEGRABILIDAD EN SISTEMAS DIFERENCIALES CONTINUOS/
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2016-77278-P/ES/
dc.relation
Reproducció del document publicat a: https://doi.org/10.1063/5.0020360
dc.relation
Chaos, 2021, vol. 31, 013113
dc.relation
info:eu-repo/grantAgreement/EC/H2020/777911/EU/Dynamics
dc.rights
(c) AIP, authors, 2021
dc.rights
info:eu-repo/semantics/openAccess
dc.title
Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
