Initiation to mould calculus through the example of saddle-node singularities

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dc.creatorSauzin, David
dc.date2007-12-29
dc.date2008-01-12
dc.date.accessioned2026-07-07T08:53:59Z
dc.date.available2026-07-07T08:53:59Z
dc.descriptionThis article proposes an initiation to Écalle's mould calculus, a powerful combinatorial tool which yields surprisingly explicit formulas for the normalising series attached to an analytic germ of singular vector field. This is illustrated on the case of saddle-node singularities, generated by two-dimensional vector fields which are formally conjugate to Euler's vector field $x^2\frac{\pa}{\pa x}+(x+y)\frac{\pa}{\pa y}$, and for which the formal normalisation proves to be resurgent in $1/x$.
dc.description13 pages. A paraître dans Rev. Semin. Iberoam. Mat. Singul. Tordesillas
dc.identifierhttps://arxiv.org/abs/0801.0073
dc.identifierhttp://arxiv.org/abs/0801.0073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145776
dc.subjectDynamical Systems
dc.titleInitiation to mould calculus through the example of saddle-node singularities
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