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.
| Original language | English |
|---|---|
| Pages (from-to) | 259-265 |
| Number of pages | 7 |
| Journal | Dynamical Systems |
| Volume | 23 |
| Issue number | 3 |
| Early online date | 5 Sept 2008 |
| DOIs | |
| Publication status | Published - 2008 |
Keywords
- chaotic vibration
- parametric pendulum
- rotational mode
- noise
- vertically oscillating pivot
- excited pendulum
- damped pendulum
- attractor
- behavior
- orbits