Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 149-165
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We provide normal forms and the global phase portraits on the Poincaré disk for all Abel quadratic polynomial diòerential equations of the second kind with ${{\mathbb{Z}}_{2}}$ -symmetries.
Mots-clés :
37J35, 37K10, Abel polynomial differential system of the second kind, vector field, phase portrait
Llibre, Jaume; Valls, Claudia. Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 149-165. doi: 10.4153/CMB-2017-026-6
@article{10_4153_CMB_2017_026_6,
author = {Llibre, Jaume and Valls, Claudia},
title = {Global {Phase} {Portraits} for the {Abel} {Quadratic} {Polynomial} {Differential} {Equations} of the {Second} {Kind} {With} {Z2-symmetries}},
journal = {Canadian mathematical bulletin},
pages = {149--165},
year = {2018},
volume = {61},
number = {1},
doi = {10.4153/CMB-2017-026-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-026-6/}
}
TY - JOUR AU - Llibre, Jaume AU - Valls, Claudia TI - Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries JO - Canadian mathematical bulletin PY - 2018 SP - 149 EP - 165 VL - 61 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-026-6/ DO - 10.4153/CMB-2017-026-6 ID - 10_4153_CMB_2017_026_6 ER -
%0 Journal Article %A Llibre, Jaume %A Valls, Claudia %T Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries %J Canadian mathematical bulletin %D 2018 %P 149-165 %V 61 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-026-6/ %R 10.4153/CMB-2017-026-6 %F 10_4153_CMB_2017_026_6
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