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arXiv · 1307.2840

Analytic normal forms for convergent saddle-node vector fields

Reinhard Schäfke·Loïc Jean Dit Teyssier
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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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Reinhard Schäfke, Loïc Jean Dit Teyssier. 2013-07-26. Analytic normal forms for convergent saddle-node vector fields. https://arxiv.org/abs/1307.2840

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