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Complex Network Geometry and Frustrated Synchronization
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 n...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6028575/ https://www.ncbi.nlm.nih.gov/pubmed/29967410 http://dx.doi.org/10.1038/s41598-018-28236-w |
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author | Millán, Ana P. Torres, Joaquín J. Bianconi, Ginestra |
author_facet | Millán, Ana P. Torres, Joaquín J. Bianconi, Ginestra |
author_sort | Millán, Ana P. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-6028575 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-60285752018-07-09 Complex Network Geometry and Frustrated Synchronization Millán, Ana P. Torres, Joaquín J. Bianconi, Ginestra Sci Rep Article 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. Nature Publishing Group UK 2018-07-02 /pmc/articles/PMC6028575/ /pubmed/29967410 http://dx.doi.org/10.1038/s41598-018-28236-w Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Millán, Ana P. Torres, Joaquín J. Bianconi, Ginestra Complex Network Geometry and Frustrated Synchronization |
title | Complex Network Geometry and Frustrated Synchronization |
title_full | Complex Network Geometry and Frustrated Synchronization |
title_fullStr | Complex Network Geometry and Frustrated Synchronization |
title_full_unstemmed | Complex Network Geometry and Frustrated Synchronization |
title_short | Complex Network Geometry and Frustrated Synchronization |
title_sort | complex network geometry and frustrated synchronization |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6028575/ https://www.ncbi.nlm.nih.gov/pubmed/29967410 http://dx.doi.org/10.1038/s41598-018-28236-w |
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