Complex Network Geometry and Frustrated Synchronization Millán Vidal, Ana Paula Torres Agudo, Joaquín J. Bianconi, Ginestra 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. 2019-08-14T09:17:18Z 2019-08-14T09:17:18Z 2018-07-02 info:eu-repo/semantics/article Millán Vidal, Ana Paula; Torres Agudo, Joaquín J.; Bianconi, Ginestra. Complex Network Geometry and Frustrated Synchronization. Scientific Reports (2018) 8:9910 [DOI:10.1038/s41598-018-28236-w] http://hdl.handle.net/10481/56634 10.1038/s41598-018-28236-w eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer Nature