Geodesic
Cubic Darboux systems with a non-elementary singular point at the Poincare equator
Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 27-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the global behavior of the trajectories of the polynomial system $x = x - x^2y + pxy^2 + y^3, y = y + py^3$, $p \in R$. Our study is related to the paper arXiv:2106/07516v2 [math.DS].
Keywords: polynomial systems, singular points, Poincare equator, rational integrals.
Mots-clés : phase portraits 
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     author = {E. P. Volokitin},
     title = {Cubic {Darboux} systems with a non-elementary singular point at the {Poincare} equator},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {27--37},
     year = {2023},
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     number = {3},
     language = {ru},
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}
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E. P. Volokitin. Cubic Darboux systems with a non-elementary singular point at the Poincare equator. Matematičeskie zametki SVFU, Tome 30 (2023) no. 3, pp. 27-37. http://geodesic.mathdoc.fr/item/SVFU_2023_30_3_a2/