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

页码：419 / 431

页数：13

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