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Control of Multilayer Networks
The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast majority of complex systems are formed by multilayer networ...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751610/ https://www.ncbi.nlm.nih.gov/pubmed/26869210 http://dx.doi.org/10.1038/srep20706 |
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author | Menichetti, Giulia Dall’Asta, Luca Bianconi, Ginestra |
author_facet | Menichetti, Giulia Dall’Asta, Luca Bianconi, Ginestra |
author_sort | Menichetti, Giulia |
collection | PubMed |
description | The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast majority of complex systems are formed by multilayer networks. Here we build a theoretical framework for the linear controllability of multilayer networks by mapping the problem into a combinatorial matching problem. We found that correlating the external signals in the different layers can significantly reduce the multiplex network robustness to node removal, as it can be seen in conjunction with a hybrid phase transition occurring in interacting Poisson networks. Moreover we observe that multilayer networks can stabilize the fully controllable multiplex network configuration that can be stable also when the full controllability of the single network is not stable. |
format | Online Article Text |
id | pubmed-4751610 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-47516102016-02-22 Control of Multilayer Networks Menichetti, Giulia Dall’Asta, Luca Bianconi, Ginestra Sci Rep Article The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast majority of complex systems are formed by multilayer networks. Here we build a theoretical framework for the linear controllability of multilayer networks by mapping the problem into a combinatorial matching problem. We found that correlating the external signals in the different layers can significantly reduce the multiplex network robustness to node removal, as it can be seen in conjunction with a hybrid phase transition occurring in interacting Poisson networks. Moreover we observe that multilayer networks can stabilize the fully controllable multiplex network configuration that can be stable also when the full controllability of the single network is not stable. Nature Publishing Group 2016-02-12 /pmc/articles/PMC4751610/ /pubmed/26869210 http://dx.doi.org/10.1038/srep20706 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Menichetti, Giulia Dall’Asta, Luca Bianconi, Ginestra Control of Multilayer Networks |
title | Control of Multilayer Networks |
title_full | Control of Multilayer Networks |
title_fullStr | Control of Multilayer Networks |
title_full_unstemmed | Control of Multilayer Networks |
title_short | Control of Multilayer Networks |
title_sort | control of multilayer networks |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751610/ https://www.ncbi.nlm.nih.gov/pubmed/26869210 http://dx.doi.org/10.1038/srep20706 |
work_keys_str_mv | AT menichettigiulia controlofmultilayernetworks AT dallastaluca controlofmultilayernetworks AT bianconiginestra controlofmultilayernetworks |