Noise-induced phase transitions in a pendulum with a randomly vibrating suspension axis

The theory of noise-induced phase transitions in a pendulum with a randomly vibrating suspension axis is outlined. It is shown that such transitions are associated with ordering of the system state. The results of numerical simulation of the transitions under consideration are given. The problem of distinguishing noise-induced oscillations and chaotic oscillations of dynamical origin is discussed. © 1996 The American Physical Society.