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Mathematical notes of NEFU, 2023, Volume 30, Issue 3, Pages 27–37
DOI: https://doi.org/10.25587/SVFU.2023.68.43.004 (Mi svfu390) 		 
Mathematics

Cubic Darboux systems with a non-elementary singular point at the Poincare equator

E. P. Volokitin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (267 kB)
DOI: https://doi.org/10.25587/SVFU.2023.68.43.004
URL: https://mzsvfu.ru/index.php/mz/article/view/462
Abstract: 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, phase portraits, rational integrals.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0005
Received: 13.06.2023
Accepted: 04.09.2023
Document Type: Article
UDC: 517.925
Language: Russian
Citation: E. P. Volokitin, “Cubic Darboux systems with a non-elementary singular point at the Poincare equator”, Mathematical notes of NEFU, 30:3 (2023), 27–37
Citation in format AMSBIB
\Bibitem{Vol23}
\by E.~P.~Volokitin
\paper Cubic Darboux systems with a non-elementary singular point at the Poincare equator
\jour Mathematical notes of NEFU
\yr 2023
\vol 30
\issue 3
\pages 27--37
\mathnet{http://mi.mathnet.ru/svfu390}
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