Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line

dc.creatorLlibre, Jaume
dc.creatorTunubalá Sánchez, Angela Carolina
dc.creatorTonon, Durval José
dc.date.accessioned2025-12-30T13:29:04Z
dc.date.available2025-12-30T13:29:04Z
dc.date.issued2025
dc.description.abstractIn this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.
dc.identifier.citationLLIBRE, Jaume; SANCHEZ, Angela C. T.; TONON, Durval J. Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. Nonlinear Differential Equations and Applications, Berlin, v. 32, e48, 2025. DOI: 10.1007/s00030-025-01050-w. Disponível em: https://link.springer.com/article/10.1007/s00030-025-01050-w. Acesso em: 9 dez. 2025.
dc.identifier.doi10.1007/s00030-025-01050-w
dc.identifier.issn1021-9722
dc.identifier.issne- 1420-9004
dc.identifier.urihttps://repositorio.bc.ufg.br//handle/ri/29233
dc.language.isoeng
dc.publisher.countryAlemanha
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RMG)
dc.rightsAcesso Aberto
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectLimit cycles
dc.subjectDiscontinuous piecewise differential systems
dc.subjectRigid systems
dc.titleLimit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line
dc.typeArtigo

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