dc.creator | Freire Macías, Emilio | es |
dc.creator | Ponce Núñez, Enrique | es |
dc.creator | Torregrosa, Joan | es |
dc.creator | Torres Peral, Francisco | es |
dc.date.accessioned | 2021-01-15T12:10:20Z | |
dc.date.available | 2021-01-15T12:10:20Z | |
dc.date.issued | 2021-04-15 | |
dc.identifier.citation | Freire Macías, E., Ponce Núñez, E., Torregrosa, J. y Torres Peral, F. (2021). Limit cycles from a monodromic infinity in planar piecewise linear systems. Journal of Mathematical Analysis and Applications, 496 (2), Article 124818. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/103811 | |
dc.description.abstract | Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with five parameters is obtained. Instead of the usual Bendixson transformation to work near infinity, a more direct approach is introduced by taking suitable coordinates for the crossing points of the possible periodic orbits with the separation straight line. The required computations to characterize the stability and bifurcations of the periodic orbit at infinity are much easier. It is shown that the Hopf bifurcation at infinity can have degeneracies of co-dimension three and, in particular, up to three limit cycles can bifurcate from the periodic orbit at infinity. This provides a new mechanism to explain the claimed maximum number of limit cycles in this family of systems. The centers at infinity classification together with the limit cycles bifurcating from them are also analyzed | es |
dc.description.sponsorship | Consejería de Economía y Conocimiento, Junta de Andalucía P12-FQM-1658 | es |
dc.description.sponsorship | Agència de Gestió d’Ajuts Universitaris i de Recerca de Catalunya 2017 SGR 1617 | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades - Agencia Estatal de Investigación (MTM2016-77278-P (FEDER), MTM2017-87915-D2-1-P, PGC2018-096265-B-I00, PID2019-104658GB-I00 | es |
dc.description.sponsorship | European Community H2020-MSCA-RISE-2017-777911 | es |
dc.format | application/pdf | es |
dc.format.extent | 22 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 496 (2), Article 124818. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Planar piecewise linear systems | es |
dc.subject | Bifurcation from infinity | es |
dc.subject | Limit cycles | es |
dc.subject | Centers | es |
dc.title | Limit cycles from a monodromic infinity in planar piecewise linear systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | 2017 SGR 1617 | es |
dc.relation.projectID | MTM2016-77278-P | es |
dc.relation.projectID | MTM2017-87915-D2-1-P | es |
dc.relation.projectID | PGC2018-096265-B-I00 | es |
dc.relation.projectID | PID2019-104658GB-I00 | es |
dc.relation.projectID | H2020-MSCA-RISE-2017-777911 | es |
dc.date.embargoEndDate | 2021-05-01 | |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022247X20309811 | es |
dc.identifier.doi | 10.1016/j.jmaa.2020.124818 | es |
dc.contributor.group | Universidad de Sevilla. TIC-130: Investigación en sistemas dinámicos en Ingeniería | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 496 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | Article 124818 | es |