In this work we focus in the family of real planar polynomial vector fields of arbitrary degree. We are interested in to characterize when a (local) center singularity of these vector fields becomes a global center, that is, its period annulus foliates the punctured real plane. The characterization of any global center is done by blowing-down the polycycle at infinity into a monodromic singular point.

中文翻译：

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通过无穷远的单向性表征全局中心


在这项工作中，我们专注于任意次数的实平面多项式向量场族。我们感兴趣的是描述这些矢量场的（局部）中心奇点何时成为全局中心，也就是说，它的周期环使被刺穿的实平面成为叶状。任何全局中心的表征都是通过将无穷远处的多环炸成一个单态奇异点来完成的。