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Analytic normal forms for convergent saddle-node vector fields
Published 10 Jul 2013 in math.DS | (1307.2840v2)
Abstract: We give unique analytic "normal forms" for germs of a holomorphic vector field of the complex plane in the neighborhood of an isolated singularity of saddle-node type having a convergent formal separatrix. We specifically address the problem of computing the normal form explicitly.
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