Phase lock and rotational motion of a parametric pendulum
Chaotic Dynamics
2007-05-23 v1
Abstract
The effect of noise on a rotational mode of a pendulum excited kinematically in vertical direction has been analyzed. We have shown that for a weak noise transitions from oscillations to rotations and vice versa are possible. For a moderate noise level dynamics of the system is governed by a combination of the excitation amplitude and stochastic component. Consequently for stronger noise the rotational solution as an independent sychonized mode has vanished.
Cite
@article{arxiv.nlin/0607046,
title = {Phase lock and rotational motion of a parametric pendulum},
author = {Grzegorz Litak and Marek Borowiec and Marian Wiercigroch},
journal= {arXiv preprint arXiv:nlin/0607046},
year = {2007}
}
Comments
8 pages, 6 figures