Mostrar el registro sencillo del ítem
Higher-order simplicial synchronization of coupled topological signals
dc.contributor.author | Ghorbanchian, Reza | |
dc.contributor.author | Restrepo, Juan G. | |
dc.contributor.author | Torres Agudo, Joaquín | |
dc.contributor.author | Bianconi, Ginestra | |
dc.date.accessioned | 2021-06-18T11:26:16Z | |
dc.date.available | 2021-06-18T11:26:16Z | |
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] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/69280 | |
dc.description | This 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.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. | es_ES |
dc.description.sponsorship | Agencia Española de Investigación FIS2017-84256-P | es_ES |
dc.description.sponsorship | Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía | es_ES |
dc.description.sponsorship | Royal Society IEC\NSFC \191147 | es_ES |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología MICYT | es_ES |
dc.description.sponsorship | European Regional Development Fund A-FQM-175-UGR18 ERDF | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | Atribución 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.title | Higher-order simplicial synchronization of coupled topological signals | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1038/s42005-021-00605-4 | |
dc.type.hasVersion | VoR | es_ES |