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

Grzegorz Litak, Marek Borowiec, Marian Wiercigroch

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17 Citations (Scopus)


The effect of noise on the rotational mode of a pendulum which is excited kinematically in vertical direction has been analysed. We have shown that for weak noise, transitions from the oscillations to rotations and vice versa are possible. For stronger noise, the rotational solution as an independent synchronized mode vanishes. When searching for the rotational motion we observed an intermittent transition to chaos induced by noise.
Original languageEnglish
Pages (from-to)259-265
Number of pages7
JournalDynamical Systems
Issue number3
Early online date5 Sep 2008
Publication statusPublished - 2008


  • chaotic vibration
  • parametric pendulum
  • rotational mode
  • noise
  • vertically oscillating pivot
  • excited pendulum
  • damped pendulum
  • attractor
  • behavior
  • orbits

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