Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-07-20
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.
Borowiec Marek
Litak Grzegorz
Wiercigroch Marian
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