抄録
In this paper, effects of random perturbations on chaotic systems are investigated. The stationary distribution of the chaotic system with additive random perturbations are theoretically discussed, concerned with a class of one-dimensional discrete dynamical systems and it is shown that if the distribution of chaotic solution processes is uniform, then, under the additive random perturbations with identically and independently distribution, the stationary distribution of randomly perturbed system is also uniform. Finally, two examples with numerical experiments show the validity and the usefulness of the results obtained in this investigation.
