  In this paper, we introduce the concept of random time changes in dynamical
systems. The sub- ordination principle may be applied to study the long time
behavior of the random time systems. We show, under certain assumptions on the
class of random time, that the subordinated system exhibits a slower time decay
which is determined by the random time characteristics. Along the path asymp-
totic, a random time change is reflected in the new velocity of the resulting
dynamics.
