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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 2045–2054
DOI: https://doi.org/10.33048/semi.2020.17.136 (Mi semr1330) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

Algebraic limit cycles of planar cubic systems

E. P. Volokitinab, V. M. Cheresiza

a Sobolev Institute of Mathematics 4, Acad. Koptyug ave., Novosibirck, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirck, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.136
Abstract: We study algebraic limit cycles of 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.
Keywords: polynomial systems, algebraic limit cycles, non-algebraic limit cycles, phase portraits.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00057
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0007
0314-2019-0010
The work is partially supported by RFBR (Grant 18-01-00057). The work was carried out within the state assignment for Sobolev Institute of Mathematics SB RAS (projects 0314-2019-0007, 0314-2019-0010).
Received October 27, 2020, published December 10, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 34C05
Language: English
Citation: E. P. Volokitin, V. M. Cheresiz, “Algebraic limit cycles of planar cubic systems”, Sib. Èlektron. Mat. Izv., 17 (2020), 2045–2054
Citation in format AMSBIB
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\by E.~P.~Volokitin, V.~M.~Cheresiz
\paper Algebraic limit cycles of planar cubic systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 2045--2054
\mathnet{http://mi.mathnet.ru/semr1330}
\crossref{https://doi.org/10.33048/semi.2020.17.136}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000598534700001}
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