Posted by | May 14, 2012

Synchronization through Color Noise

The new paper  Colored noise induces synchronization of limit cycle oscillators shows that color noise can induce synchronization among limit-cycle oscillators. This finding interestingly relates to the fact that brain dynamics is characterized by chaotic noise and perhaps shows the potential of noise to be the communication medium for various groups of synchronized constellations of nodes in a network.  The abstract of the paper is below:

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Driven by various kinds of noise, ensembles of limit cycle oscillators can synchronize. In this letter, we propose a general formulation of synchronization of the oscillator ensembles driven by common colored noise with an arbitrary power spectrum. To explore statistical properties of such colored noise-induced synchronization, we derive the stationary distribution of the phase difference between two oscillators in the ensemble. This analytical result theoretically predicts various synchronized and clustered states induced by colored noise and also clarifies that these phenomena have a different synchronization mechanism from the case of white noise.

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