Centers of quasi-homogeneous polynomial planar systems

被引：36
|
作者：
Algaba, A. [1 ]
Fuentes, N. [1 ]
Garcia, C. [1 ]
机构：
[1] Fac Expt Sci, Dept Math, Huelva 21071, Spain
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 01期
关键词：
Quasi-homogeneous; Reversibility; Integrability; Center problem; Monodromy; DIFFERENTIAL-SYSTEMS; 1ST INTEGRALS; NILPOTENT; INTEGRABILITY; FOCUS;
D O I：
10.1016/j.nonrwa.2011.07.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers. We find polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：419 / 431
页数：13
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