Darboux Polynomials, Balances and Painleve Property

被引：1

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

REGULAR & CHAOTIC DYNAMICS | 2017年 / 22卷 / 05期

关键词：

Painleve property; Darboux polynomial; Kovalevskaya exponents; ALGEBRAIC 1ST INTEGRALS; KOWALEVSKI EXPONENTS; EXISTENCE; SYSTEMS;

D O I：

10.1134/S1560354717050057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painleve property. As far as we know, these are the first results which relate the Darboux theory of integrability, first, to the Painleve property and, second, to the Kovalevskaya exponents. The relation of these last two notions to the general integrability has been intensively studied over these last years.

引用

页码：543 / 550

页数：8

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