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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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7 pages, 6 figures, epl.cls. Accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2002-00511-0

We elucidate how the presence of noise may significantly interact with the synchronization mechanism of systems exhibiting frequency-locking. The response of these systems exhibits a rich variety of behaviors, such as resonances and anti-resonances which can be controlled by the intensity of noise. The transition between different locked regimes provokes the development of a multiple enhancement of the effective diffusion. This diffusion behavior is accompanied by a crest-like peak-splitting cascade when the distribution of the lockings is self-similar, as it occurs in periodic systems that are able to exhibit a Devil's staircase sequence of frequency-lockings.

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