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A hybrid symbolic-numerical approach to the center-focus problem

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dc.contributor.authorMahdi, Adam
dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.authorHauenstein, Jonathan D.
dc.contributor.institutionUniversity of Oxford
dc.contributor.institutionAGH University of Science and Technology
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversity of Notre Dame
dc.date.accessioned2018-12-11T17:10:01Z
dc.date.available2018-12-11T17:10:01Z
dc.date.issued2017-09-01
dc.description.abstractWe propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques.en
dc.description.affiliationDepartment of Engineering Science University of Oxford, Old Road Campus Research Building
dc.description.affiliationFaculty of Applied Mathematics AGH University of Science and Technology, Mickiewicza 30
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista IBILCE/UNESP, Rua Cristovão Colombo, 2265
dc.description.affiliationDepartment of Applied and Computational Mathematics and Statistics University of Notre Dame
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista IBILCE/UNESP, Rua Cristovão Colombo, 2265
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent57-73
dc.identifierhttp://dx.doi.org/10.1016/j.jsc.2016.11.019
dc.identifier.citationJournal of Symbolic Computation, v. 82, p. 57-73.
dc.identifier.doi10.1016/j.jsc.2016.11.019
dc.identifier.file2-s2.0-85013224894.pdf
dc.identifier.issn0747-7171
dc.identifier.lattes3724937886557424
dc.identifier.orcid0000-0001-6790-1055
dc.identifier.scopus2-s2.0-85013224894
dc.identifier.urihttp://hdl.handle.net/11449/174247
dc.language.isoeng
dc.relation.ispartofJournal of Symbolic Computation
dc.relation.ispartofsjr0,519
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectCenter manifold
dc.subjectCenter-focus problem
dc.subjectFirst integral
dc.subjectNumerical algebraic geometry
dc.titleA hybrid symbolic-numerical approach to the center-focus problemen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.lattes3724937886557424[2]
unesp.author.orcid0000-0001-6790-1055[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas