Quadratic and cubic complex systems satisfying the Cauchy-Riemann conditions

DOI10.17377/SEMI.2015.12.005zbMath1353.34038arXiv1410.8667MaRDI QIDQ2630598

S. A. Treskov, Evgenii Pavlovich Volokitin, Vladimir Mikhaĭlovich Cheresiz

Publication date: 28 July 2016

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8667

zbMATH Keywords

phase portraitsDarboux integrabilitycubic systemsquadratic systemsrational first integrals

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

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Algebraic first integrals of the polynomial systems satisfying the Cauchy-Riemann conditions

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