An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite robust, allowing for a simple way to investigate amplitude decay in the presence of general types of weak, nonlinear damping.

中文翻译：

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具有一般幂律阻尼的谐振子的慢耗散极限

给出了存在阻尼的简谐运动的近似解，该力是速度的一般幂律函数。该近似被证明是非常稳健的，允许在存在一般类型的弱非线性阻尼的情况下研究振幅衰减的简单方法。