dc.contributor.author | Ghorbanchian, R | |
dc.contributor.author | Restrepo, JG | |
dc.contributor.author | Torres, JJ | |
dc.contributor.author | Bianconi, G | |
dc.date.accessioned | 2021-06-07T16:36:15Z | |
dc.date.available | 2021-04-16 | |
dc.date.available | 2021-06-07T16:36:15Z | |
dc.date.issued | 2021-06-07 | |
dc.identifier.citation | Ghorbanchian, R., Restrepo, J.G., Torres, J.J. et al. Higher-order simplicial synchronization of coupled topological signals. Commun Phys 4, 120 (2021). https://doi.org/10.1038/s42005-021-00605-4 | en_US |
dc.identifier.issn | 0010-4655 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/72362 | |
dc.description.abstract | Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order dynamics of simplicial complexes. In particular we consider topological signals, i.e., dynamical signals defined on simplices of different dimension, here taken to be nodes and links for simplicity. We show that coupling between signals defined on nodes and links leads to explosive topological synchronization in which phases defined on nodes synchronize simultaneously to phases defined on links at a discontinuous phase transition. We study the model on real connectomes and on simplicial complexes and network models. Finally, we provide a comprehensive theoretical approach that captures this transition on fully connected networks and on random networks treated within the annealed approximation, establishing the conditions for observing a closed hysteresis loop in the large network limit. | en_US |
dc.publisher | Nature Research | en_US |
dc.relation.ispartof | Nature Communications Physics | |
dc.rights | 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/. | |
dc.subject | cond-mat.dis-nn | en_US |
dc.subject | cond-mat.dis-nn | en_US |
dc.subject | nlin.AO | en_US |
dc.subject | physics.soc-ph | en_US |
dc.title | Higher-order simplicial synchronization of coupled topological signals | en_US |
dc.type | Article | en_US |
dc.rights.holder | © The Author(s) 2021 | |
pubs.author-url | http://arxiv.org/abs/2011.00897v2 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Accepted | en_US |
pubs.publisher-url | https://doi.org/10.1038/s42005-021-00605-4 | |
dcterms.dateAccepted | 2021-04-16 | |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |