Topological measure locating the effective crossover between segregation and integration in a modular network

Ajdari Rad, Ali; Sendiña Nadal, Irene; Papo, David; Zanin, Massimiliano; Buldu, Javier M.; Pozo Guerrero, Francisco del y Boccaletti, Stefano (2012). Topological measure locating the effective crossover between segregation and integration in a modular network. "Physical Review Letters", v. 108 (n. 22); pp.. ISSN 0031-9007. https://doi.org/10.1103/PhysRevLett.108.228701.

Descripción

Título: Topological measure locating the effective crossover between segregation and integration in a modular network
Autor/es:
  • Ajdari Rad, Ali
  • Sendiña Nadal, Irene
  • Papo, David
  • Zanin, Massimiliano
  • Buldu, Javier M.
  • Pozo Guerrero, Francisco del
  • Boccaletti, Stefano
Tipo de Documento: Artículo
Título de Revista/Publicación: Physical Review Letters
Fecha: Junio 2012
Volumen: 108
Materias:
Escuela: E.T.S.I. Telecomunicación (UPM)
Departamento: Tecnología Fotónica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is expressed in terms of the algebraic connectivity of an associated hypergraph. The rigorous treatment of the simplified case of cliques of equal size that are gradually rewired until they become completely merged, allows us to show that this topological crossover can be made to coincide with a dynamical crossover from cluster to global synchronization of a system of coupled phase oscillators. The dynamical crossover is signaled by a peak in the product of the measures of intracluster and global synchronization, which we propose as a dynamical measure of complexity. This quantity is much easier to compute than the entropy (of the average frequencies of the oscillators), and displays a behavior which closely mimics that of the dynamical complexity index based on the latter. The proposed topological measure simultaneously provides information on the dynamical behavior, sheds light on the interplay between modularity and total integration, and shows how this affects the capability of the network to perform both local and distributed dynamical tasks.

Más información

ID de Registro: 16606
Identificador DC: http://oa.upm.es/16606/
Identificador OAI: oai:oa.upm.es:16606
Identificador DOI: 10.1103/PhysRevLett.108.228701
URL Oficial: http://link.aps.org/doi/10.1103/PhysRevLett.108.228701
Depositado por: Memoria Investigacion
Depositado el: 21 Jul 2013 08:48
Ultima Modificación: 21 Abr 2016 16:55
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