Complex Network Geometry and Frustrated Synchronization.

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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Millán AP,Torres JJ,Bianconi G

doi

10.1038/s41598-018-28236-w

subject

Has Abstract

pub_date

2018-07-02 00:00:00

pages

9910

issue

1

issn

2045-2322

pii

10.1038/s41598-018-28236-w

journal_volume

8

pub_type

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