QUADRATIC AND CUBIC COMPLEX SYSTEMS SATISFYING THE CAUCHY-RIEMANN CONDITIONS

被引：1

作者：

Volokitin, E. P. ^{[1
,2
]}

Treskov, S. A. ^{[1
,2
]}

Cheresiz, V. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Acad Koptyug Pr 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

quadratic systems; cubic systems; Darboux integrability; rational first integrals; phase portraits;

D O I：

10.17377/semi.2015.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study plane quadratic and cubic differential systems satisfying the Cauchy-Riemann conditions. We construct all global topologically equivalent phase portraits of the systems.

引用

页码：45 / 63

页数：19

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