Centers of quasi-homogeneous polynomial differential equations of degree three

被引：25
|
作者：
Aziz, W. [1 ,4 ]
Llibre, J. [2 ]
Pantazi, C. [3 ]
机构：
[1] Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[3] Univ Politecn Cataluna, Dept Matemat Aplicada 1, EPSEB, E-08028 Barcelona, Spain
[4] Salahaddin Univ Hawler, Coll Sci, Dept Math, Erbil, Kurdistan Regio, Iraq
来源：
ADVANCES IN MATHEMATICS | 2014年 / 254卷
关键词：
Quasi-homogeneous polynomial systems; Centers; Limit cycles; CUBIC VECTOR-FIELDS; CLASSIFICATION; PLANE; FLOWS;
D O I：
10.1016/j.aim.2013.12.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：233 / 250
页数：18
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