dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorBuzzi, Claudio A.
dc.creatorLlibre, Jaume
dc.creatorMedrado, Joao C.
dc.creatorTorregrosa, Joan
dc.date2014-05-20T15:31:53Z
dc.date2016-10-25T18:07:53Z
dc.date2014-05-20T15:31:53Z
dc.date2016-10-25T18:07:53Z
dc.date2009-01-01
dc.date.accessioned2017-04-06T00:24:35Z
dc.date.available2017-04-06T00:24:35Z
dc.identifierDynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 24, n. 1, p. 123-137, 2009.
dc.identifier1468-9367
dc.identifierhttp://hdl.handle.net/11449/40908
dc.identifierhttp://acervodigital.unesp.br/handle/11449/40908
dc.identifier10.1080/14689360802534492
dc.identifierWOS:000263644000009
dc.identifierhttp://dx.doi.org/10.1080/14689360802534492
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/883643
dc.descriptionFor every positive integer N >= 2 we consider the linear differential centre (x) over dot = Ax in R-4 with eigenvalues +/- i and +/- Ni. We perturb this linear centre inside the class of all polynomial differential systems of the form linear plus a homogeneous nonlinearity of degree N, i.e. (x) over dot Ax + epsilon F(x) where every component of F(x) is a linear polynomial plus a homogeneous polynomial of degree N. Then if the displacement function of order epsilon of the perturbed system is not identically zero, we study the maximal number of limit cycles that can bifurcate from the periodic orbits of the linear differential centre.
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.languageeng
dc.publisherTaylor & Francis Ltd
dc.relationDynamical Systems-an International Journal
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectperiodic orbits
dc.subjectlimit cycles
dc.subjectpolynomial vector fields
dc.subjectperturbation
dc.subjectresonance 1:N
dc.titleBifurcation of limit cycles from a centre in R-4 in resonance 1:N
dc.typeOtro


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