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APS » Journals » Phys. Rev. Lett. » Volume 101 » Issue 16
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Phys. Rev. Lett. 101, 168701 (2008) [4 pages]

Synchronization Interfaces and Overlapping Communities in Complex Networks

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D. Li1, I. Leyva2, J. A. Almendral2, I. Sendiña-Nadal2, J. M. Buldú2, S. Havlin1, and S. Boccaletti3,4
1Department of Physics, Minerva Center, Bar Ilan University, Ramat Gan 52900, Israel
2Complex Systems Group, Universidad Rey Juan Carlos, c/ Tulipán s/n, 28933 Móstoles, Madrid, Spain
3Embassy of Italy in Tel Aviv, 25 Hamered Street, 68125 Tel Aviv, Israel
4CNR–Istituto dei Sistemi Complessi, Via Madonna del Piano, 10, 50019 Sesto Fiorentino (Fi), Italy

Received 12 June 2008; published 14 October 2008

We show that a complex network of phase oscillators may display interfaces between domains (clusters) of synchronized oscillations. The emergence and dynamics of these interfaces are studied for graphs composed of either dynamical domains (influenced by different forcing processes), or structural domains (modular networks). The obtained results allow us to give a functional definition of overlapping structures in modular networks, and suggest a practical method able to give information on overlapping clusters in both artificially constructed and real world modular networks.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.168701
DOI:
10.1103/PhysRevLett.101.168701
PACS:
89.75.Hc, 05.45.Xt
 
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