In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory of first and second order, we estimate the maximum number of limit cycles that this class of systems can exhibit.

中文翻译：

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一类平面多项式微分系统的极限环

在本文中，我们研究了当在一类任意次数n的平面多项式微分系统中受到扰动时，可以从线性中心分叉的最大极限环数。使用一阶和二阶平均理论，我们估计此类系统可以展示的最大极限环数。