Abstract We investigate a class of n-dimensional periodic differential equations with multiple small parameters by averaging method, and obtain sufficient conditions for the existence of multiple periodic orbits. As applications of the main results, a cubic system is studied.

中文翻译：

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多参数周期方程周期轨道的平均法分岔

摘要 我们用平均法研究了一类具有多个小参数的n维周期微分方程，得到了多个周期轨道存在的充分条件。作为主要结果的应用，研究了三次系统。