Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields
Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 265-281
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The paper deals with 2-parameter families of planar vector fields which are invariant under the group $D_q$ for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.
Keywords:
versal family, bifurcation, $D_q$-invariant
Affiliations des auteurs :
Grzegorz Świrszcz 1
@article{10_4064_ap_62_3_265_281,
author = {Grzegorz \'Swirszcz},
title = {Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields},
journal = {Annales Polonici Mathematici},
pages = {265--281},
publisher = {mathdoc},
volume = {62},
number = {3},
year = {1995},
doi = {10.4064/ap-62-3-265-281},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-265-281/}
}
TY - JOUR AU - Grzegorz Świrszcz TI - Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields JO - Annales Polonici Mathematici PY - 1995 SP - 265 EP - 281 VL - 62 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-265-281/ DO - 10.4064/ap-62-3-265-281 LA - en ID - 10_4064_ap_62_3_265_281 ER -
%0 Journal Article %A Grzegorz Świrszcz %T Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields %J Annales Polonici Mathematici %D 1995 %P 265-281 %V 62 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-265-281/ %R 10.4064/ap-62-3-265-281 %G en %F 10_4064_ap_62_3_265_281
Grzegorz Świrszcz. Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields. Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 265-281. doi: 10.4064/ap-62-3-265-281
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