The mean field of weakly coupled oscillators exhibits non-smooth phase noise

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Abstract

The magnitude of the complex-valued mean field of N coupled oscillators is known to act as an order parameter for the synchronization transition; in this letter it is shown that the phase speed (rate of change of the phase angle) of the mean field is a non-smooth random process, as demonstrated by the existence of a 1/f spectrum across a range of frequencies. An exact expression for the phase speed correlation function is derived in the limit of vanishing coupling between oscillators; numerical results show the 1/f scaling can also persist beyond the synchronization threshold.

Original languageEnglish
Pages (from-to)328-334
Number of pages7
JournalEurophysics Letters
Volume73
Issue number3
DOIs
Publication statusPublished - 1 Feb 2006
Externally publishedYes

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