IPACS Electronic library

The autoresonance threshold in a system of weakly coupled oscillators

Oleg Kiselev
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.
File: download
Copyright © 2003—2015 The Laboratory "Control of Complex Systems", IPME RAS