  In the contracting phase with w\simeq 0, the scale invariant spectrum of
curvature perturbation is given by the increasing mode of metric perturbation.
In this paper, it is found that if the contracting phase with w\simeq 0 is
included in each cycle of a cycle universe, since the metric perturbation is
amplified on super horizon scale cycle by cycle, after each cycle the universe
will be inevitably separated into many parts independent of one another, each
of which corresponds to a new universe and evolves up to next cycle, and then
is separated again. In this sense, a cyclic multiverse scenario is actually
presented, in which the universe proliferates cycle by cycle. We estimate the
number of new universes proliferated in each cycle, and discuss the
implications of this result.
