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 language | English |
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Pages (from-to) | 328-334 |
Number of pages | 7 |
Journal | Europhysics Letters |
Volume | 73 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Feb 2006 |
Externally published | Yes |