Analytic normal forms for convergent saddle-node vector fields
Dynamical Systems
2013-07-29 v2
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.
Keywords
Cite
@article{arxiv.1307.2840,
title = {Analytic normal forms for convergent saddle-node vector fields},
author = {Reinhard Schäfke and Loïc Jean Dit Teyssier},
journal= {arXiv preprint arXiv:1307.2840},
year = {2013}
}
Comments
31p