dc.creator | Algaba Durán, Antonio | es |
dc.creator | Gamero Gutiérrez, Estanislao | es |
dc.creator | García García, Cristóbal | es |
dc.date.accessioned | 2022-10-17T16:38:31Z | |
dc.date.available | 2022-10-17T16:38:31Z | |
dc.date.issued | 2021-08 | |
dc.identifier.citation | Algaba Durán, A., Gamero Gutiérrez, E. y García García, C. (2021). Orbital Hypernormal Forms. Symmetry, 13 (8), 1500. https://doi.org/10.3390/sym13081500. | |
dc.identifier.issn | EISSN 2073-8994 | es |
dc.identifier.uri | https://hdl.handle.net/11441/137972 | |
dc.description.abstract | In this paper, we analyze the problem of determining orbital hypernormal forms—that
is, the simplest analytical expression that can be obtained for a given autonomous system around
an isolated equilibrium point through time-reparametrizations and transformations in the state
variables. We show that the computation of orbital hypernormal forms can be carried out degree by
degree using quasi-homogeneous expansions of the vector field of the system by means of reduced
time-reparametrizations and near-identity transformations, achieving an important reduction in the
computational effort. Moreover, although the orbital hypernormal form procedure is essentially
nonlinear in nature, our results show that orbital hypernormal forms are characterized by means of
linear operators. Some applications are considered: the case of planar vector fields, with emphasis on
a case of the Takens–Bogdanov singularity. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación MTM2017-87915-C2-1-P | es |
dc.description.sponsorship | Unión Europea MTM2017-87915-C2-1-P | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades PGC2018-096265-B-I00 | es |
dc.description.sponsorship | Unión Europea PGC2018-096265-B-I00 | es |
dc.description.sponsorship | Consejería de Economía, Innovación, Ciencia y Empleo P12-FQM-1658 | es |
dc.description.sponsorship | Consejería de Economía, Innovación, Ciencia y Empleo UHU-1260150 | es |
dc.description.sponsorship | Consejería de Economía, Innovación, Ciencia y Empleo TIC-130 | es |
dc.description.sponsorship | Consejería de Economía, Innovación, Ciencia y Empleo FQM-276 | es |
dc.format | application/pdf | es |
dc.format.extent | 28 p. | es |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.relation.ispartof | Symmetry, 13 (8), 1500. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Orbital normal forms | es |
dc.subject | Homological operators | es |
dc.subject | Lie symmetries | es |
dc.subject | Nilpotent centers | es |
dc.title | Orbital Hypernormal Forms | 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 | MTM2017-87915-C2-1-P | es |
dc.relation.projectID | PGC2018-096265-B-I00 | es |
dc.relation.projectID | P12-FQM-1658 | es |
dc.relation.projectID | UHU-1260150 | es |
dc.relation.projectID | TIC-130 | es |
dc.relation.projectID | FQM-276 | es |
dc.relation.publisherversion | https://doi.org/10.3390/sym13081500 | es |
dc.identifier.doi | 10.3390/sym13081500 | es |
dc.journaltitle | Symmetry | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 1500 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Junta de Andalucía | es |