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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1170–1186
DOI: https://doi.org/10.17377/semi.2016.13.092 (Mi semr742) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

The qualitative analysis of the plane polynomial 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 Novosibirck Russia
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DOI: https://doi.org/10.17377/semi.2016.13.092
Abstract: We study the local and global behavior of the trajectories of polynomial differential systems of the form $\dot x= x+p_n(x,y)$, $\dot y=y+q_n(x,y)$.
Keywords: polynomial systems, limit cycles, singular points, Poincaré equator, phase portraits.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00745_а
Received October 27, 2016, published December 8, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 34С05
Language: Russian
Citation: E. P. Volokitin, V. M. Cheresiz, “The qualitative analysis of the plane polynomial Darboux systems”, Sib. Èlektron. Mat. Izv., 13 (2016), 1170–1186
Citation in format AMSBIB
\Bibitem{VolChe16}
\by E.~P.~Volokitin, V.~M.~Cheresiz
\paper The qualitative analysis of the plane polynomial Darboux systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1170--1186
\mathnet{http://mi.mathnet.ru/semr742}
\crossref{https://doi.org/10.17377/semi.2016.13.092}
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