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APS » Journals » Phys. Rev. Lett. » Volume 107 » Issue 23
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Phys. Rev. Lett. 107, 234103 (2011) [5 pages]

Emerging Meso- and Macroscales from Synchronization of Adaptive Networks

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R. Gutiérrez1, A. Amann2, S. Assenza3, J. Gómez-Gardeñes4, V. Latora5, and S. Boccaletti1
1Centre for Biomedical Technology, Technical University of Madrid, Pozuelo de Alarcón, 28223 Madrid, Spain
2School of Mathematical Sciences and Tyndall National Institute, University College Cork, Cork, Ireland
3Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania, 95123 Catania, Italy and Laboratoire de Biophysique Statistique, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
4Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain and Department of Condensed Matter Physics, University of Zaragoza, 50009 Zaragoza, Spain
5Dipartimento di Fisica e Astronomia, Università di Catania and INFN, Via S. Sofia, 64, 95123 Catania, Italy and Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania, Universitá di Catania, 95123 Catania, Italy

Received 26 July 2011; published 30 November 2011

We consider a set of interacting phase oscillators, with a coupling between synchronized nodes adaptively reinforced, and the constraint of a limited resource for a node to establish connections with the other units of the network. We show that such a competitive mechanism leads to the emergence of a rich modular structure underlying cluster synchronization, and to a scale-free distribution for the connection strengths of the units.

© 2011 American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.107.234103
DOI:
10.1103/PhysRevLett.107.234103
PACS:
05.45.Xt, 89.75.Hc
 
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