Polynomial Differential Systems in R3 Having Invariant Weighted Homogeneous Surfaces
dc.contributor.author | Dalbelo, Thaís Maria [UNESP] | |
dc.contributor.author | Messias, Marcelo [UNESP] | |
dc.contributor.author | Reinol, Alisson C. [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2018-12-11T17:12:55Z | |
dc.date.available | 2018-12-11T17:12:55Z | |
dc.date.issued | 2018-03-01 | |
dc.description.abstract | In this paper we give the normal form of all polynomial differential systems in R3 having a weighted homogeneous surface f= 0 as an invariant algebraic surface and characterize among these systems those having a Darboux invariant constructed uniquely using this invariant surface. Using the obtained results we give some examples of stratified vector fields, when f= 0 is a singular surface. We also apply the obtained results to study the Vallis system, which is related to the so-called El Niño atmospheric phenomenon, when it has a cone as an invariant algebraic surface, performing a dynamical analysis of the flow of this system restricted to the invariant cone and providing a stratification for this singular surface. | en |
dc.description.affiliation | Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia UNESP-Univ Estadual Paulista | |
dc.description.affiliation | Departamento de Matemática Intituto de Biociências Letras e Ciências Exatas UNESP-Univ Estadual Paulista | |
dc.description.affiliationUnesp | Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia UNESP-Univ Estadual Paulista | |
dc.description.affiliationUnesp | Departamento de Matemática Intituto de Biociências Letras e Ciências Exatas UNESP-Univ Estadual Paulista | |
dc.format.extent | 137-157 | |
dc.identifier | http://dx.doi.org/10.1007/s00574-017-0045-9 | |
dc.identifier.citation | Bulletin of the Brazilian Mathematical Society, v. 49, n. 1, p. 137-157, 2018. | |
dc.identifier.doi | 10.1007/s00574-017-0045-9 | |
dc.identifier.file | 2-s2.0-85021273879.pdf | |
dc.identifier.issn | 1678-7544 | |
dc.identifier.lattes | 3757225669056317 | |
dc.identifier.scopus | 2-s2.0-85021273879 | |
dc.identifier.uri | http://hdl.handle.net/11449/174799 | |
dc.language.iso | eng | |
dc.relation.ispartof | Bulletin of the Brazilian Mathematical Society | |
dc.relation.ispartofsjr | 0,406 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Darboux theory of integrability | |
dc.subject | Invariant algebraic surfaces | |
dc.subject | Polynomial differential systems | |
dc.subject | Singular varieties | |
dc.subject | Stratified vector fields | |
dc.subject | Vallis system | |
dc.subject | Weighted homogeneous surfaces | |
dc.title | Polynomial Differential Systems in R3 Having Invariant Weighted Homogeneous Surfaces | en |
dc.type | Artigo | |
unesp.author.lattes | 3757225669056317 | |
unesp.department | Matemática e Computação - FCT | pt |
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