  We study the evolution of cosmological perturbations in a non-singular
bouncing cosmology with a bounce phase which has superimposed oscillations of
the scale factor. We identify length scales for which the final spectrum of
fluctuations obtains imprints of the non-trivial bounce dynamics. These
imprints in the spectrum are manifested in the form of damped oscillation
features at scales smaller than a characteristic value and an increased
reddening of the spectrum at all the scales as the number of small bounces
increases.
