The autoresonance threshold into a system of weakly coupled oscillators
Mathematical Physics
2007-07-17 v1 math.MP
Abstract
We investigate a system of two weakly coupled oscillators. It is shown that an external periodic perturbation can lead to the capture into resonance. Asymptotic description and numerical simulations are presented. We have obtained the explicit formula for the threshold value for the amplitude of the perturbation that leads to the autoresonance.
Keywords
Cite
@article{arxiv.0707.2311,
title = {The autoresonance threshold into a system of weakly coupled oscillators},
author = {Sergei Glebov and Oleg Kiselev and Vladimir Lazarev},
journal= {arXiv preprint arXiv:0707.2311},
year = {2007}
}
Comments
LaTeX, 15 pages, 6 figures