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dc.contributor.authorGhorbanchian, Reza
dc.contributor.authorRestrepo, Juan G.
dc.contributor.authorTorres Agudo, Joaquín 
dc.contributor.authorBianconi, Ginestra
dc.date.accessioned2021-06-18T11:26:16Z
dc.date.available2021-06-18T11:26:16Z
dc.date.issued2021-06-07
dc.identifier.citationGhorbanchian, 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]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/69280
dc.descriptionThis research utilized Queen Mary’s Apocrita HPC facility, supported by QMUL Research-IT (https://doi.org/10.5281/zenodo.438045). G.B. acknowledge support from the Royal Society IEC\NSFC \191147. J.J.T. acknowledges financial support from the Spanish Ministry of Science and Technology, and the Agencia Española de Investigación (AEI) under grant FIS2017-84256-P (FEDER funds) and from the Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund, Refs. A-FQM-175-UGR18 and SOMM17/6105/UGR.es_ES
dc.description.abstractSimplicial 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.es_ES
dc.description.sponsorshipAgencia Española de Investigación FIS2017-84256-Pes_ES
dc.description.sponsorshipConsejería de Conocimiento, Investigación y Universidad, Junta de Andalucíaes_ES
dc.description.sponsorshipRoyal Society IEC\NSFC \191147es_ES
dc.description.sponsorshipMinisterio de Ciencia y Tecnología MICYTes_ES
dc.description.sponsorshipEuropean Regional Development Fund A-FQM-175-UGR18 ERDFes_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.titleHigher-order simplicial synchronization of coupled topological signalses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1038/s42005-021-00605-4
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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