Geodesic
Quadratic and сubic complex systems satisfying the Cauchy--Riemann conditions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 45-63

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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
Mots-clés : phase portraits. 
@article{SEMR_2015_12_a59,
     author = {E. P. Volokitin and S. A. Treskov and V. M. Cheresiz},
     title = {Quadratic and {\cyrs}ubic complex systems satisfying the {Cauchy--Riemann} conditions},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {45--63},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a59/}
}
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E. P. Volokitin; S. A. Treskov; V. M. Cheresiz. Quadratic and сubic complex systems satisfying the Cauchy--Riemann conditions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 45-63. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a59/