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Analytic normal forms for convergent saddle-node vector fields

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.

preprint2013arXivOpen access
Reinhard SchäfkeLoïc Jean Dit Teyssier
math.DS
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Open access2 authors1 topic
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Reinhard SchäfkeLoïc Jean Dit Teyssier

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