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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 45–63
DOI: https://doi.org/10.17377/semi.2015.12.005 (Mi semr568) 		 
Differentical equations, dynamical systems and optimal control

Quadratic and сubic complex systems satisfying the Cauchy–Riemann conditions

E. P. Volokitinab, S. A. Treskovab, V. M. Cheresiza

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/semi.2015.12.005
Abstract: We study plane quadratic and cubic differential systems satisfying the Cauсhy–Riemann conditions. We construct all global topologically equivalent phase portraits of the systems.
Keywords: quadratic systems, cubic systems, Darboux integrability, rational first integrals, phase portraits.
Received December 3, 2014, published January 25, 2015
Document Type: Article
UDC: 517.925
MSC: 34С05
Language: Russian
Citation: E. P. Volokitin, S. A. Treskov, V. M. Cheresiz, “Quadratic and сubic complex systems satisfying the Cauchy–Riemann conditions”, Sib. Èlektron. Mat. Izv., 12 (2015), 45–63
Citation in format AMSBIB
\Bibitem{VolTreChe15}
\by E.~P.~Volokitin, S.~A.~Treskov, V.~M.~Cheresiz
\paper Quadratic and сubic complex systems satisfying the Cauchy--Riemann conditions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 45--63
\mathnet{http://mi.mathnet.ru/semr568}
\crossref{https://doi.org/10.17377/semi.2015.12.005}
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