Darbouxian first integrals and invariants for real quadratic systems having an invariant conic

被引：14

作者：

Cairó, L

Llibre, J

机构：

[1] Univ Orleans, UMR 6628, MAPMO, Dept Math, F-45067 Orleans 2, France

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

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 03期

关键词：

D O I：

10.1088/0305-4470/35/3/309

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the Darboux theory to study the integrability of real quadratic differential systems having an invariant conic. The fact that two intersecting straight lines or two parallel straight lines are particular cases of conics allows us to study simultaneously the integrability of quadratic systems having at least two invariant straight lines real or complex.

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页码：589 / 608

页数：20

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