Orbital Reversibility of Planar Vector Fields
| dc.contributor.author | Algaba, Antonio | |
| dc.contributor.author | García, Cristóbal | |
| dc.contributor.author | Giné, Jaume | |
| dc.date.accessioned | 2021-01-29T10:03:50Z | |
| dc.date.available | 2021-01-29T10:03:50Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility have been given. The procedure is useful in the center problem because any nondegenerate and nilpotent center is orbitally reversible. Moreover, using this algorithm is possible to find degenerate centers which are orbitally reversible. | ca_ES |
| dc.description.sponsorship | The first and second authors are partially supported by Ministerio de Ciencia, Innovación y Universidades/ FEDER grant number PGC2018-096265-B-I00 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276, UHU-1260150). The third author is partially supported by a MINECO/ FEDER grant number MTM2017-84383-P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276. | ca_ES |
| dc.identifier.doi | https://doi.org/10.3390/math9010014 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.uri | http://hdl.handle.net/10459.1/70356 | |
| dc.language.iso | eng | ca_ES |
| dc.publisher | MDPI | ca_ES |
| 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/ | ca_ES |
| dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096265-B-I00/ES/COMPORTAMIENTO NO LINEAL Y BIFURCACIONES EN SISTEMAS DINAMICOS: APLICACIONES/ | ca_ES |
| dc.relation.isformatof | Reproducció del document publicat a https://doi.org/10.3390/math9010014 | ca_ES |
| dc.relation.ispartof | Mathematics, 2021, vol. 9, núm. 1, 14 | ca_ES |
| dc.rights | cc-by (c) Algaba et al., 2021 | ca_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Time-reversibility | ca_ES |
| dc.subject | Orbital reversibility | ca_ES |
| dc.subject | Center problem | ca_ES |
| dc.title | Orbital Reversibility of Planar Vector Fields | ca_ES |
| dc.type | info:eu-repo/semantics/article | ca_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | ca_ES |