Emerging Meso- and Macroscales from Synchronization of Adaptive Networks

R. Gutiérrez, A. Amann, S. Assenza, J. Gómez-Gardeñes, V. Latora, and S. Boccaletti

Phys. Rev. Lett. 107, 234103 – Published 30 November 2011

Abstract

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.

Received 26 July 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.234103

Authors & Affiliations

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

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Issue

Vol. 107, Iss. 23 — 2 December 2011

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