-
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... -
Normalization of holomorphic vector fields and implicit differential equations
The aim of the classical theory of normal forms is to simplify complicated problems by using regular changes of coordinates, in order to keep the dynamical...
