  We analytically and numerically show that through the cycles with nonsingular
bounce the amplitude of curvature perturbation on large scale will be amplified
and the power spectrum will be redden. In some sense, this amplification will
eventually destroy the homogeneity of background, which will lead to the
ultimate end of cycles of global universe. We argue that for the model with
increasing cycles, it might be possible that a fissiparous multiverse will
emerge after one or several cycles, in which the cycles will continue only at
corresponding local regions.
