Control of noise-induced oscillations of a pendulum with a randomly vibrating suspension axis

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Abstract
We consider the influence of an additional harmonic action on noise-induced oscillations of a pendulum with a randomly vibrating suspension axis. It is shown that these oscillations are intensified, or even initiated, if the frequency of the additional action is low, but that they are suppressed if it is high. Both intensification and suppression of the oscillations occur via “on-off intermittency.” In a certain range of the action frequencies, synchronization of a noise-induced pendulum’s oscillations takes place in the sense that the mean frequency of the oscillations becomes close to the action frequency. Thus we demonstrate that both frequency and amplitude of noise-induced oscillations can be effectively controlled. Similarities and distinctions between these effects and classical phenomena of asynchronous excitation, asynchronous quenching, and synchronization are discussed.