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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 889–902
DOI: https://doi.org/10.17377/semi.2017.14.075 (Mi semr832) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

Dynamics of the cubic Darboux systems

E. P. Volokitinab, V. M. Cheresiza

a Sobolev Institute of Mathematics, 4 Acad. Koptyug avenue, 630090 Novosibirsk Russia
b Novosibirsk State University, 2 Pirogova Str., 630090 Novosibirsk Russia
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DOI: https://doi.org/10.17377/semi.2017.14.075
Abstract: We study the local and global behavior of the trajectories of the differential systems of the form $\dot x= x+p_3(x,y), \ \dot y=y+q_3(x,y)$ where $p_3(x,y), q_3(x,y)$ are relatively prime homogeneous cubic polynomials.
Keywords: polynomial systems, singular points, Poincaré equator, phase portraits.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00745_а
Received July 7, 2017, published September 14, 2017
Bibliographic databases:
Document Type: Article
UDC: 514.7
MSC: 34С05
Language: Russian
Citation: E. P. Volokitin, V. M. Cheresiz, “Dynamics of the cubic Darboux systems”, Sib. Èlektron. Mat. Izv., 14 (2017), 889–902
Citation in format AMSBIB
\Bibitem{VolChe17}
\by E.~P.~Volokitin, V.~M.~Cheresiz
\paper Dynamics of the cubic Darboux systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 889--902
\mathnet{http://mi.mathnet.ru/semr832}
\crossref{https://doi.org/10.17377/semi.2017.14.075}
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