Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems

被引：13

作者：

Algaba, A. ^{[1
]}

Garcia, C. ^{[1
]}

Reyes, M. ^{[1
]}

机构：

[1] Univ Huelva, Dept Math, Fac Ciencias Expt, Huelva, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 05期

关键词：

Quasi-homogeneous vector field; Rational integrability; Kowalevskaya exponents; 1ST INTEGRALS; EQUATIONS; NONINTEGRABILITY; EXISTENCE;

D O I：

10.1016/j.na.2010.04.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize, in terms of the conservative-dissipative decomposition of a vector field, the two-dimensional quasi-homogeneous polynomial differential systems which have a rational first integral. We obtain the Kowalevskaya exponents of these vector fields and relate the rational integrability of these fields to their Kowalevskaya exponents. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1318 / 1327

页数：10

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