Centers and Limit Cycles of a Generalized Cubic Riccati System

被引：3

作者：

Zhou, Zhengxin ^{[1
]}

Romanovski, Valery G. ^{[2
,3
,4
]}

Yu, Jiang ^{[5
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Univ Maribor, Fac Elect Engn & Comp Sci, Smetanova 17, SI-2000 Maribor, Slovenia

[3] Univ Maribor, CAMTP Ctr Appl Math & Theoret Phys, Krekova 2, SI-2000 Maribor, Slovenia

[4] Univ Maribor, Fac Nat Sci & Math, Koroska C 160, SI-2000 Maribor, Slovenia

[5] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 02期

关键词：

Center; limit cycle; cyclicity; DIFFERENTIAL-SYSTEMS; 1ST INTEGRALS; INTEGRABILITY; BIFURCATIONS;

D O I：

10.1142/S0218127420500212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the conditions for the existence of a center for a cubic planar differential system, which can be considered as a polynomial subfamily of the generalized Riccati system. We also investigate bifurcations of small limit cycles from the components of the center variety of the system.

引用

页数：10

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