The return map for a planar vector field with nilpotent linear part: a direct and explicit derivation

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dc.creatorCostin, Rodica D.
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:16:01Z
dc.date.available2026-07-07T13:16:01Z
dc.descriptionUsing a direct approach the return map near a focus of a planar vector field with nilpotent linear part is found as a convergent power series which is a perturbation of the identity and 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0905.2884
dc.identifierhttp://arxiv.org/abs/0905.2884
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230660
dc.subjectClassical Analysis and ODEs
dc.subject34C05; 34C07
dc.titleThe return map for a planar vector field with nilpotent linear part: a direct and explicit derivation
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