Normal forms for germs of vector fields with quadratic leading part. The remaining cases
Studia Mathematica, Tome 239 (2017) no. 2, pp. 133-173

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We complete the classification of germs of plane vector fields with quadratic leading part initiated in Stróżyna (2015). There, two cases were completely analyzed, a simplest one and a most complex one. Here we study the remaining cases. In the proofs we use a new method introduced in Stróżyna Żołądek (2015) concerning the Bogdanov–Takens singularity.
DOI : 10.4064/sm8627-2-2017
Keywords: complete classification germs plane vector fields quadratic leading part initiated str yna there cases completely analyzed simplest complex here study remaining cases proofs method introduced str yna dek concerning bogdanov takens singularity

Ewa Stróżyna 1

1 Faculty of Mathematics and Information Science Warsaw University of Technology Koszykowa 75 00-662 Warszawa, Poland
@article{10_4064_sm8627_2_2017,
     author = {Ewa Str\'o\.zyna},
     title = {Normal forms for germs of vector fields with quadratic leading part. {The} remaining cases},
     journal = {Studia Mathematica},
     pages = {133--173},
     publisher = {mathdoc},
     volume = {239},
     number = {2},
     year = {2017},
     doi = {10.4064/sm8627-2-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8627-2-2017/}
}
TY  - JOUR
AU  - Ewa Stróżyna
TI  - Normal forms for germs of vector fields with quadratic leading part. The remaining cases
JO  - Studia Mathematica
PY  - 2017
SP  - 133
EP  - 173
VL  - 239
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm8627-2-2017/
DO  - 10.4064/sm8627-2-2017
LA  - en
ID  - 10_4064_sm8627_2_2017
ER  - 
%0 Journal Article
%A Ewa Stróżyna
%T Normal forms for germs of vector fields with quadratic leading part. The remaining cases
%J Studia Mathematica
%D 2017
%P 133-173
%V 239
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm8627-2-2017/
%R 10.4064/sm8627-2-2017
%G en
%F 10_4064_sm8627_2_2017
Ewa Stróżyna. Normal forms for germs of vector fields with quadratic leading part. The remaining cases. Studia Mathematica, Tome 239 (2017) no. 2, pp. 133-173. doi: 10.4064/sm8627-2-2017

Cité par Sources :