Solution of the problem of the centre for a cubic differential system with three invariant straight lines

被引：0

作者：

Cozma D. ^{[1
]}

Şubǎ A. ^{[2
]}

机构：

[1] Department of Mathematics, State University of Tiraspol

[2] Department of Mathematics, State University of Moldova

来源：

Qualitative Theory of Dynamical Systems | 2001年 / 2卷 / 1期

关键词：

Center-focus problem; Cubic systems of differential equations; Integrability; Invariant algebraic curves;

D O I：

10.1007/BF02969386

中图分类号：

学科分类号：

摘要：

For a cubic differential system ẋ = y(1 + x)(1 - x + cx + fy), ẏ = -(x + gx2 + dxy + by2 + sx3 + qx2y + nxy2 + ly3) we find coefficient conditions for the existence of three invariant straight lines. We resolve the problem of the centre in each of these conditions.

引用

页码：129 / 143

页数：14

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