Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem
dc.contributor.author | Pessoa, Claudio [UNESP] | |
dc.contributor.author | Queiroz, Lucas [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.date.accessioned | 2022-11-30T13:40:49Z | |
dc.date.available | 2022-11-30T13:40:49Z | |
dc.date.issued | 2022-12-01 | |
dc.description.abstract | Given 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.affiliation | Univ Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, R Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorshipId | FAPESP: 19/13040-7 | |
dc.format.extent | 24 | |
dc.identifier | http://dx.doi.org/10.1007/s12346-022-00638-2 | |
dc.identifier.citation | Qualitative Theory Of Dynamical Systems. Basel: Springer Basel Ag, v. 21, n. 4, 24 p., 2022. | |
dc.identifier.doi | 10.1007/s12346-022-00638-2 | |
dc.identifier.issn | 1575-5460 | |
dc.identifier.uri | http://hdl.handle.net/11449/237645 | |
dc.identifier.wos | WOS:000834818300001 | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartof | Qualitative Theory Of Dynamical Systems | |
dc.source | Web of Science | |
dc.subject | Monodromy | |
dc.subject | Nilpotent singular points | |
dc.subject | Center Problem | |
dc.title | Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem | en |
dc.type | Artigo | |
dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
dcterms.rightsHolder | Springer | |
unesp.author.orcid | 0000-0001-6790-1055[1] |