Rigid centres on the center manifold of tridimensional differential systems

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dc.contributor.authorMahdi, Adam
dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.authorRibeiro, Jarne D.
dc.contributor.institutionUniversity of Oxford
dc.contributor.institutionAGH University of Science and Technology
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionIFSULDEMINAS
dc.date.accessioned2022-04-29T08:33:06Z
dc.date.available2022-04-29T08:33:06Z
dc.date.issued2021-01-01
dc.description.abstractMotivated by the definition of rigid centres for planar differential systems, we introduce the study of rigid centres on the center manifolds of differential systems on ℝ3. On the plane, these centres have been extensively studied and several interesting results have been obtained. We present results that characterize the rigid systems on ℝ3 and solve the centre-focus problem for several families of rigid systems.en
dc.description.affiliationDepartment of Engineering Science Institute of Biomedical Engineering University of Oxford
dc.description.affiliationFaculty of Applied Mathematics AGH University of Science and Technology
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista IBILCE/UNESP, Rua Cristovão Colombo, 2265, SP
dc.description.affiliationInstituto Federal de Educacao Ciencia e Tecnologia Do sul de Minas Gerais IFSULDEMINAS, Rua Mario Ribola 409, Penha II, MG
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista IBILCE/UNESP, Rua Cristovão Colombo, 2265, SP
dc.identifierhttp://dx.doi.org/10.1017/prm.2021.46
dc.identifier.citationProceedings of the Royal Society of Edinburgh Section A: Mathematics.
dc.identifier.doi10.1017/prm.2021.46
dc.identifier.issn1473-7124
dc.identifier.issn0308-2105
dc.identifier.scopus2-s2.0-85115025843
dc.identifier.urihttp://hdl.handle.net/11449/229528
dc.language.isoeng
dc.relation.ispartofProceedings of the Royal Society of Edinburgh Section A: Mathematics
dc.sourceScopus
dc.subjectcenter manifold
dc.subjectCentre-focus problem
dc.subjectfirst integral
dc.subjectrigid centre
dc.titleRigid centres on the center manifold of tridimensional differential systemsen
dc.typeArtigo
unesp.author.orcid0000-0001-6790-1055[2]
unesp.author.orcid0000-0001-9729-900X[3]

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