@misc{10481/56634,
year = {2018},
month = {7},
url = {http://hdl.handle.net/10481/56634},
abstract = {The dynamics of networks of neuronal cultures has been recently shown to be strongly dependent on
the network geometry and in particular on their dimensionality. However, this phenomenon has been
so far mostly unexplored from the theoretical point of view. Here we reveal the rich interplay between
network geometry and synchronization of coupled oscillators in the context of a simplicial complex
model of manifolds called Complex Network Manifold. The networks generated by this model combine
small world properties (infinite Hausdorff dimension) and a high modular structure with finite and
tunable spectral dimension. We show that the networks display frustrated synchronization for a wide
range of the coupling strength of the oscillators, and that the synchronization properties are directly
affected by the spectral dimension of the network.},
organization = {Financial support from Spanish MINECO (under excelence project FIS2017-84256-P; FEDER
funds) and from “Obra Social La Caixa”. A.P.M. acknowledges the kind hospitality of the School of Mathematical
Sciences at Queen Mary University of London where this work started.},
publisher = {Springer Nature},
title = {Complex Network Geometry and Frustrated Synchronization},
doi = {10.1038/s41598-018-28236-w},
author = {Millán Vidal, Ana Paula and Torres Agudo, Joaquín J. and Bianconi, Ginestra},
}