Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies
Numerical Analysis
2024-10-02 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2410.00696,
title = {Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies},
author = {M. P. Calvo and J. M. Sanz-Serna and Beibei Zhu},
journal= {arXiv preprint arXiv:2410.00696},
year = {2024}
}