Normal forms for certain singularities of vectorfields

Takens, Floris. "Normal forms for certain singularities of vectorfields." Annales de l'institut Fourier 23.2 (1973): 163-195. <http://eudml.org/doc/74122>.

@article{Takens1973,
abstract = {$C^\infty $ normal forms are given for singularities of $C^\infty $ vectorfields on $\{\bf R\}$, which are not flat, and for $C^\infty $ vectorfields $X$ on $\{\bf R\}^2$ with $X(0)=0$, the 1-jet of $X$ in the origin is a pure rotation, and some higher order jet of $X$ attracting or expanding.},
author = {Takens, Floris},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {163-195},
publisher = {Association des Annales de l'Institut Fourier},
title = {Normal forms for certain singularities of vectorfields},
url = {http://eudml.org/doc/74122},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Takens, Floris
TI - Normal forms for certain singularities of vectorfields
JO - Annales de l'institut Fourier
PY - 1973
PB - Association des Annales de l'Institut Fourier
VL - 23
IS - 2
SP - 163
EP - 195
AB - $C^\infty $ normal forms are given for singularities of $C^\infty $ vectorfields on ${\bf R}$, which are not flat, and for $C^\infty $ vectorfields $X$ on ${\bf R}^2$ with $X(0)=0$, the 1-jet of $X$ in the origin is a pure rotation, and some higher order jet of $X$ attracting or expanding.
LA - eng
UR - http://eudml.org/doc/74122
ER -