Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem

dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.authorQueiroz, Lucas [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-11-30T13:40:49Z
dc.date.available2022-11-30T13:40:49Z
dc.date.issued2022-12-01
dc.description.abstractGiven a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number n. The parity of n determines whether the existence of an inverse integrating factor implies that the singular point is a nilpotent center. For n odd, this is not always true. We give a characterization for a family of systems having Andreev number n such that the center problem cannot be solved by the inverse integrating factor method. Moreover, we study general properties of this family, determining necessary center conditions for every n and solving the center problem in the case n = 3.en
dc.description.affiliationUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 19/13040-7
dc.format.extent24
dc.identifierhttp://dx.doi.org/10.1007/s12346-022-00638-2
dc.identifier.citationQualitative Theory Of Dynamical Systems. Basel: Springer Basel Ag, v. 21, n. 4, 24 p., 2022.
dc.identifier.doi10.1007/s12346-022-00638-2
dc.identifier.issn1575-5460
dc.identifier.urihttp://hdl.handle.net/11449/237645
dc.identifier.wosWOS:000834818300001
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofQualitative Theory Of Dynamical Systems
dc.sourceWeb of Science
dc.subjectMonodromy
dc.subjectNilpotent singular points
dc.subjectCenter Problem
dc.titleMonodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problemen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.orcid0000-0001-6790-1055[1]

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