Volume 77, Number 2, January 2007
|Number of page(s)||5|
|Published online||08 January 2007|
Synchronization and clustering of phase oscillators with heterogeneous coupling
Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro 8400 Bariloche, Río Negro, Argentina
Accepted: 14 November 2006
We generalize Kuramoto's theory for the synchronization transition of globally coupled phase oscillators to populations where each oscillator has a different coupling strength. We show that, beyond the transition, even those oscillators with very small couplings may participate in the synchronized ensemble, provided that their natural frequencies are close enough to the synchronization frequency. In finite systems, numerical realizations reveal that the transition is preceded by a regime of clustering where the population splits into internally synchronized groups of various sizes. The appearance of these clusters may be qualitatively understood in terms of fluctuations in the distribution of natural frequencies.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.Fb – Structures and organization in complex systems / 05.70.Fh – Phase transitions: general studies
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.