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We elucidate how the presence of noise may significantly interact with thesynchronization mechanism of systems exhibiting frequency-locking. The responseof these systems exhibits a rich variety of behaviors, such as resonances andanti-resonances which can be controlled by the intensity of noise. Thetransition between different locked regimes provokes the development of amultiple enhancement of the effective diffusion. This diffusion behavior isaccompanied by a crest-like peak-splitting cascade when the distribution of thelockings is self-similar, as it occurs in periodic systems that are able toexhibit a Devil's staircase sequence of frequency-lockings.Comment: 7 pages, 6 figures, epl.cls. Accepted for publication in Europhysics  Letter

Interplay of frequency-synchronization with noise: Current resonances, giant diffusion and diffusion-crests