Geodesic
About the whole behavior of trajectories of Darboux systems with cubic
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1463-1484

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We study the local and global behavior of trajectories of the differential systems of the form $\dot x= x+P_3(x,y), \dot y=y+Q_3(x,y)$ where $P_3(x,y)$ and $Q_3(x,y)$ are homogeneous cubic polynomials with a common factor.
Keywords: polynomial systems, singular points, Poincaré equator
Mots-clés : phase portraits. 
@article{SEMR_2018_15_a107,
     author = {E. P. Volokitin and V. M. Cheresiz},
     title = {About the whole behavior of trajectories of {Darboux} systems with cubic},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1463--1484},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a107/}
}
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E. P. Volokitin; V. M. Cheresiz. About the whole behavior of trajectories of Darboux systems with cubic. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1463-1484. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a107/