2021-02-25T10:37:30Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:16606
2016-04-21T16:55:38Z
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Topological measure locating the effective crossover between segregation and integration in a modular network
Ajdari Rad, Ali
SendiĆ±a Nadal, Irene
Papo, David
Zanin, Massimiliano
Buldu, Javier M.
Pozo Guerrero, Francisco del
Boccaletti, Stefano
Psychology
Telecommunications
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.
E.T.S.I. TelecomunicaciĆ³n (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2012-06
info:eu-repo/semantics/article
Article
Physical Review Letters, ISSN 0031-9007, 2012-06, Vol. 108, No. 22
PeerReviewed
application/pdf
eng
http://link.aps.org/doi/10.1103/PhysRevLett.108.228701
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.108.228701
http://oa.upm.es/16606/