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Phase locking and rotational motion of a parametric pendulum in noisy and chaotic conditions |
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| Authors: | Grzegorz Litak Marek Borowiec Marian Wiercigroch |
| Affiliation: | 1. Department?of Applied Mechanics , Technical University of Lublin , Lublin , Poland;2. Institute of Physics, Technical University of Chemnitz , Chemnitz , Germany;3. Department?of Applied Mechanics , Technical University of Lublin , Lublin , Poland;4. Centre for Applied Dynamics Research, School of Engineering, King's College, University of Aberdeen , Aberdeen, Scotland , UK |
| Abstract: | 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. |
| Keywords: | chaotic vibration parametric pendulum rotational mode noise |