Explosive First-Order Transition to Synchrony in Networked Chaotic Oscillators

I. Leyva, R. Sevilla-Escoboza, J. M. Buldú, I. Sendiña-Nadal, J. Gómez-Gardeñes, A. Arenas, Y. Moreno, S. Gómez, R. Jaimes-Reátegui, and S. Boccaletti
Phys. Rev. Lett. 108, 168702 – Published 20 April 2012

Abstract

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first-order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.

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  • Received 17 January 2012

DOI:https://doi.org/10.1103/PhysRevLett.108.168702

© 2012 American Physical Society

Authors & Affiliations

I. Leyva1,2, R. Sevilla-Escoboza3, J. M. Buldú1,2, I. Sendiña-Nadal1,2, J. Gómez-Gardeñes4,5, A. Arenas5,6, Y. Moreno5,7, S. Gómez6, R. Jaimes-Reátegui3, and S. Boccaletti2

  • 1Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain
  • 2Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Spain
  • 3Centro Universitario de Los Lagos, Universidad de Guadalajara, Lagos de Moreno, Jalisco 47460, Mexico
  • 4Departamento de Física de la Materia Condensada, Universidad de Zaragoza, Zaragoza 50009, Spain
  • 5Institute for Biocomputation and Physics of Complex Systems (BIFI), Universidad de Zaragoza, 50009 Zaragoza, Spain
  • 6Departamento d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain
  • 7Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza 50009, Spain

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Issue

Vol. 108, Iss. 16 — 20 April 2012

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