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Remote synchronization reveals network symmetries and functional modules.

Vincenzo Nicosia 1 Miguel Valencia 2 Mario Chavez 3 Albert Díaz-Guilera 4 Vito Latora 1 
2 NEMESIS-CRICM - Equipe NEMESIS - Centre de Recherches de l'Institut du Cerveau et de la Moelle épinière
CRICM - Centre de Recherche de l'Institut du Cerveau et de la Moelle épinière
3 ARAMIS - Algorithms, models and methods for images and signals of the human brain
Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6, ICM - Institut du Cerveau et de la Moëlle Epinière = Brain and Spine Institute
Abstract : We study a Kuramoto model in which the oscillators are associated with the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote synchronization where pairs of nodes with the same network symmetry are fully synchronized, despite their distance on the graph. We provide analytical arguments to explain this result, and we show how the frustration parameter affects the distribution of phases. An application to brain networks suggests that anatomical symmetry plays a role in neural synchronization by determining correlated functional modules across distant locations.
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Contributor : Olivier Colliot Connect in order to contact the contributor
Submitted on : Wednesday, January 29, 2014 - 3:16:19 PM
Last modification on : Friday, August 5, 2022 - 3:39:34 AM


  • HAL Id : hal-00938684, version 1
  • PUBMED : 23679731


Vincenzo Nicosia, Miguel Valencia, Mario Chavez, Albert Díaz-Guilera, Vito Latora. Remote synchronization reveals network symmetries and functional modules.. Physical Review Letters, 2013, 110 (17), pp.174102. ⟨hal-00938684⟩



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