Phase lock and rotational motion of a parametric pendulum in noisy and chaotic conditions

نویسندگان

  • Grzegorz Litak
  • Marek Borowiec
  • Marian Wiercigroch
چکیده

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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تاریخ انتشار 2006