Paths to Synchronization on Complex Networks

Jesús Gómez-Gardeñes, Yamir Moreno, and Alex Arenas
Phys. Rev. Lett. 98, 034101 – Published 18 January 2007

Abstract

The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenomena, the synchronization of a set of interacting individuals or units has been intensively studied because of its ubiquity in the natural world. In this Letter, we show how for fixed coupling strengths local patterns of synchronization emerge differently in homogeneous and heterogeneous complex networks, driving the process towards a certain global synchronization degree following different paths. The dependence of the dynamics on the coupling strength and on the topology is unveiled. This study provides a new perspective and tools to understand this emerging phenomena.

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  • Received 14 August 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.034101

©2007 American Physical Society

Authors & Affiliations

Jesús Gómez-Gardeñes1,2, Yamir Moreno1, and Alex Arenas3

  • 1Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain
  • 2Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza E-50009, Spain
  • 3Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain

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Issue

Vol. 98, Iss. 3 — 19 January 2007

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