The first return map for planar vector fields with nilpotent linear part with a center or a focus

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dc.creatorCostin, Rodica D.
dc.date2009-05-20
dc.date.accessioned2026-07-07T13:16:50Z
dc.date.available2026-07-07T13:16:50Z
dc.descriptionThe return map for planar vector fields with nilpotent linear part (having a center or a focus and under an assumption generically satisfied) is found as a convergent power series whose terms can be calculated iteratively. The first nontrivial coefficient is the value of an Abelian integral, and the following ones are explicitly given as iterated integrals built with algebraic functions.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0905.3316
dc.identifierhttp://arxiv.org/abs/0905.3316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230918
dc.subjectClassical Analysis and ODEs
dc.subject34C05; 34C07
dc.titleThe first return map for planar vector fields with nilpotent linear part with a center or a focus
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