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

共 50 条

[21] A nonlinear Cauchy-Riemann system in several complex variables
Hayashi, Y
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1403 - 1420
[22] CAUCHY-RIEMANN CONDITIONS FOR ALGEBRAS ISOMORPHIC TO THE CIRCULANT ALGEBRA
WILDE, AC
JOURNAL OF THE UNIVERSITY OF KUWAIT-SCIENCE, 1987, 14 (02): : 189 - 204
[23] SOLUTION OPERATORS FOR THE CAUCHY-RIEMANN COMPLEX WITH CK ESTIMATES
LIEB, I
RANGE, RM
MATHEMATISCHE ANNALEN, 1980, 253 (02) : 145 - 164
[24] Regularity of b complex on nondegenerate Cauchy-Riemann manifolds
王伟
Science China Mathematics, 2001, (04) : 452 - 466
[25] Propagation of smallness for solutions of generalized Cauchy-Riemann systems
Malinnikova, E
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2004, 47 : 191 - 204
[26] INHOMOGENEOUS CAUCHY-RIEMANN SYSTEMS WITH SMOOTH DEPENDENCE ON PARAMETERS
WEINSTOCK, BM
DUKE MATHEMATICAL JOURNAL, 1973, 40 (02) : 307 - 312
[27] An Exploring to the Cauchy-Riemann Equations
Zeng, Lijiang
INTERNATIONAL CONFERENCE ON SOCIAL SCIENCE, MANAGEMENT AND ECONOMICS (SSME 2015), 2015, : 919 - 923
[28] FAST CAUCHY-RIEMANN SOLVER
GHIL, M
BALGOVIND, R
MATHEMATICS OF COMPUTATION, 1979, 33 (146) : 585 - 635
[29] Remarks on Cauchy-Riemann Structure
Saxena, Mohit
Kankarej, Manisha M.
Khan, Mohammad Nazrul Islam
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
[30] A generalization of the Cauchy-Riemann equations
Williams, KP
ANNALS OF MATHEMATICS, 1928, 30 : 206 - 210

← 1 2 3 4 5 →