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.
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
Affiliations des auteurs :
Ewa Stróżyna 1
@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
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