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

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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. Volokitin^ab, S. A. Treskov^ab, V. M. Cheresiz^a

^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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