Phase lock and rotational motion of a parametric pendulum

Details Phase lock and rotational motion of a parametric pendulum Phase lock and rotational motion of a parametric pendulum

2006-07-20

arxiv.org/abs/nlin/0607046v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 6 figures

Scientific paper

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.

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