Volume 101, Number 2, February 2013
|Number of page(s)||6|
|Published online||29 January 2013|
Effects of degree-frequency correlations on network synchronization: Universality and full phase-locking
1 Department of Applied Mathematics, University of Colorado - Boulder, CO 80309, USA
2 Department of Mathematics, Clarkson University - Potsdam, NY, 13699, USA
3 Department of Physics and Astronomy, Northwestern University - Evanston, IL 60208, USA
Received: 28 September 2012
Accepted: 2 January 2013
We introduce a model to study the effect of degree-frequency correlations on synchronization in networks of coupled oscillators. Analyzing this model, we find several remarkable characteristics. We find a stationary synchronized state that is i) universal, i.e., the degree of synchrony, as measured by a global order parameter, is independent of network topology, and ii) fully phase-locked, i.e., all oscillators become simultaneously phase-locked despite having different natural frequencies. This state separates qualitatively different behaviors for two other classes of correlations where, respectively, slow and fast oscillators can remain unsynchronized. We close by presenting an analysis of the dynamics under arbitrary degree-frequency correlations.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.Hc – Networks and genealogical trees
© EPLA, 2013
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