Versal deformation of the analytic saddle-node

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dc.creatorLoray, Frank
dc.date2004-03-03
dc.date.accessioned2026-07-07T08:11:59Z
dc.date.available2026-07-07T08:11:59Z
dc.descriptionWe derive simple forms for saddle-node singular points of analytic foliations in the real or complex plane just by gluing foliated complex manifolds. We give the versal analytic deformation of the simplest model. We also derive a unique analytic form for those saddle-node having a central manifold. By this way, we recover and generalize results earlier proved by J. Ecalle by using mould theory and partially answer to some questions asked by J. Martinet and J.-P. Ramis in the 80's.
dc.identifierhttps://arxiv.org/abs/math/0403079
dc.identifierhttp://arxiv.org/abs/math/0403079
dc.identifierAnalyse complexe, Systèmes dynamiques, Sommabilité des séries divergentes et Théories Galoisiennes (2004) 167--187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132301
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32S65
dc.titleVersal deformation of the analytic saddle-node
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