dc.creator | Esteban, Marina | es |
dc.creator | Llibre Saló, Jaume | es |
dc.creator | Valls, Claudia | es |
dc.date.accessioned | 2021-05-20T16:15:17Z | |
dc.date.available | 2021-05-20T16:15:17Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Esteban, M., Llibre Saló, J. y Valls, C. (2021). The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Chaos, 31, Article number 043112. | |
dc.identifier.issn | 1089-7682 (electrónico) | es |
dc.identifier.issn | 1054-1500 (impreso) | es |
dc.identifier.uri | https://hdl.handle.net/11441/109131 | |
dc.description.abstract | In this paper, we deal with discontinuous piecewise differential systems formed by two differential systems separated by a straight line when
these two differential systems are linear centers (which always are isochronous) or quadratic isochronous centers. It is known that there is a
unique family of linear isochronous centers and four families of quadratic isochronous centers. Combining these five types of isochronous
centers, we obtain 15 classes of discontinuous piecewise differential systems. We provide upper bounds for the maximum number of limit
cycles that these fifteen classes of discontinuous piecewise differential systems can exhibit, so we have solved the 16th Hilbert problem for
such differential systems. Moreover, in seven of the classes of these discontinuous piecewise differential systems, the obtained upper bound
on the maximum number of limit cycles is reached. | es |
dc.description.sponsorship | Consejería de Economía y Conocimiento de la Junta de Andalucía P12-FQM-1658 | es |
dc.description.sponsorship | FCT/Portugal UID/MAT/04459/2019 | es |
dc.description.sponsorship | H2020 European Research Council MSCA-RISE-2017-777911 | es |
dc.description.sponsorship | Agència de Gestió d'Ajuts Universitaris i de Recerca 2017SGR1617 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad PGC2018-096265-B-I00 | es |
dc.description.sponsorship | Agencia Estatal de Investigación PID2019-104658GB-I00 | es |
dc.format | application/pdf | es |
dc.format.extent | 18 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Physics AIP | es |
dc.relation.ispartof | Chaos, 31, Article number 043112. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Limit Cycle | es |
dc.subject | Melnikov Function | es |
dc.subject | Piecewise Linear Systems | es |
dc.title | The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.projectID | UID/MAT/04459/2019 | es |
dc.relation.projectID | MSCA-RISE-2017-777911 | es |
dc.relation.projectID | 2017SGR1617 | es |
dc.relation.projectID | PGC2018-096265-B-I00 | es |
dc.relation.projectID | PID2019-104658GB-I00 | es |
dc.relation.publisherversion | https://aip.scitation.org/doi/full/10.1063/5.0023055 | es |
dc.identifier.doi | 10.1063/5.0023055 | es |
dc.journaltitle | Chaos | es |
dc.publication.volumen | 31 | es |
dc.publication.issue | | es |
dc.publication.initialPage | Article number 043112 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | European Regional Development Fund | es |