New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

被引：1
|
作者：
Llibre, Jaume [1 ]
Mousavi, Marzieh [2 ]
Nabavi, Arefeh [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2019年 / 25卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
Poincare compactification; Center; First integral; Invariant algebraic curve; INTEGRABILITY;
D O I：
10.1007/s10883-019-09432-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincare disc of the centers of this family having degree 2, 4, and 6.
引用
收藏
页码：619 / 630
页数：12
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