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.
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页码：129 / 143
页数：14
相关论文
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