A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorGarcía García, Cristóbal
dc.contributor.authorGiné, Jaume
dc.date.accessioned2021-09-17T11:20:37Z
dc.date.available2021-09-17T11:20:37Z
dc.date.issued2021
dc.description.abstractIn this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In fact, it is a pre-normal form with respect to classical Bogdanov–Takens normal formal and it allows to approach the center problem more efficiently. The new normal form is applied to several examples.es_ES
dc.description.departmentCiencias Integradas
dc.description.sponsorshipThe 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). The third author is partially supported by a MINECO/ FEDER grant number PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) Grant number 2017SGR-1276.
dc.identifier.citationAlgaba, Antonio; García, Cristóbal; Giné, Jaume. (2021) . A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields. Mediterranean Journal of Mathematics, 2021, vol. 18, a176. https://doi.org/10.1007/s00009-021-01820-7es_ES
dc.identifier.doi10.1007/s00009-021-01820-7
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454 (electrónico)
dc.identifier.urihttp://hdl.handle.net/10272/20077
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.otherPrimary 34C20es_ES
dc.subject.otherSecondary 37G05, 34C14, 37C10, 37C80es_ES
dc.subject.unesco12 Matemáticases_ES
dc.titleA New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fieldses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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