TY - JOUR
T1 - Stability of synchronization in simplicial complexes
AU - Gambuzza, Lucia Valentina
AU - Di Patti, Francesca
AU - Gallo, Luca
AU - Lepri, Stefano
AU - Romance, Miguel
AU - Criado, Regino
AU - Frasca, Mattia
AU - Latora, Vito
AU - Boccaletti, Stefano
N1 - Funding Information:
F.D.P., S.L. and S.B. acknowledge funding from the project EXPLICS granted by the Italian Ministry of Foreign Affairs and International Cooperation. R.C. and M.R. acknowledge funding from the project PGC2018-101625-B-I00, granted by the Spanish Ministry of Science and Innovation. L.V.G. and M.F. acknowledge the support of the Italian Ministry for Research and Education through the Research Program PRIN 2017 (Grant 2017CWMF93, project VECTORS). V.L. acknowledges support from the Lever-hulme Trust Research Fellowship ‘‘CREATE: the network components of creativity and success’’, RF-2019-059.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/2/23
Y1 - 2021/2/23
N2 - Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies have revealed that higher-order many-body interactions are present in social groups, ecosystems and in the human brain, and they actually affect the emergent dynamics of all these systems. Here, we introduce a general framework to study coupled dynamical systems accounting for the precise microscopic structure of their interactions at any possible order. We show that complete synchronization exists as an invariant solution, and give the necessary condition for it to be observed as a stable state. Moreover, in some relevant instances, such a necessary condition takes the form of a Master Stability Function. This generalizes the existing results valid for pairwise interactions to the case of complex systems with the most general possible architecture.
AB - Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies have revealed that higher-order many-body interactions are present in social groups, ecosystems and in the human brain, and they actually affect the emergent dynamics of all these systems. Here, we introduce a general framework to study coupled dynamical systems accounting for the precise microscopic structure of their interactions at any possible order. We show that complete synchronization exists as an invariant solution, and give the necessary condition for it to be observed as a stable state. Moreover, in some relevant instances, such a necessary condition takes the form of a Master Stability Function. This generalizes the existing results valid for pairwise interactions to the case of complex systems with the most general possible architecture.
UR - http://www.scopus.com/inward/record.url?scp=85101408513&partnerID=8YFLogxK
U2 - https://doi.org/10.1038/s41467-021-21486-9
DO - https://doi.org/10.1038/s41467-021-21486-9
M3 - Article
SN - 2041-1723
VL - 12
JO - Nature Communications
JF - Nature Communications
IS - 1
M1 - 1255
ER -