Autoresonance is a phenomenon of physical interest that may take place when a nonlinear oscillator is forced at a frequency that varies slowly. The stroboscopic averaging method (SAM), which provides an efficient numerical technique for the integration of highly oscillatory systems, cannot be used directly to study autoresonance due to the slow changes of the forcing frequency. We study how to modify SAM to cater for such slow variations. Numerical experiments show the computational advantages of using SAM.

翻译：自共振是一种具有物理意义的现象，当非线性振子在缓慢变化的频率激励下可能发生。频闪平均方法（SAM）为高频振荡系统的积分提供了一种高效的数值技术，但由于激励频率的缓慢变化，该方法无法直接用于研究自共振。本文研究了如何改进SAM以适应此类缓慢变化。数值实验证明了使用SAM的计算优势。