具有三次曲线解xy^2+y=x^3的中心对称三次系统极限环的存在性

The Existence of Limit Cycles for a Central Symmetry Cubic System with a Cubic Curve Solution xy 2+y=x 3

本文证明了具有三次曲线解ｘｙ２＋ｙ＝ｘ３的中心对称三次系统的极限环存在，而且至少可以存在四个极限环，它们作（２，２）分布．

In this paper, we prove that there exist at least four the limit cycles distributing in the form (2,2) in a central symmetry cubic system with a cubic curve solution xy 2+y=x 3 . Then we corrected an error in 1 .