By KAM theorem, we prove that all solutions of Duffing equations of periodic coefficients undergoing suitable impulses are bounded for all time and that there are many quasi-periodic solutions clustering at infinity.

中文翻译：

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Moser扭曲定理在某些脉冲微分方程中的应用

通过KAM定理，我们证明了受到适当脉冲的周期系数Duffing方程的所有解都在整个时间内都是有界的，并且存在许多在无穷大处聚集的拟周期解。