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dc.contributor.author
Abdalla, Pedro
dc.contributor.author
Bandeira, Afonso S.
dc.contributor.author
Invernizzi, Clara
dc.date.accessioned
2024-03-22T09:21:32Z
dc.date.available
2024-03-22T07:48:03Z
dc.date.available
2024-03-22T09:21:32Z
dc.date.issued
2024-03
dc.identifier.issn
1536-0040
dc.identifier.other
10.1137/23M1559270
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/665557
dc.description.abstract
The Kuramoto model is a classical mathematical model in the field of nonlinear dynamical systems that describes the evolution of coupled oscillators in a network that may reach a synchronous state. The relationship between the network's topology and whether the oscillators synchronize is a central question in the field of synchronization, and random graphs are often employed as a proxy for complex networks. On the other hand, the random graphs on which the Kuramoto model is rigorously analyzed in the literature are homogeneous models and fail to capture the underlying geometric structure that appears in several examples. In this work, we leverage tools from random matrix theory, random graphs, and mathematical statistics to prove that the Kuramoto model on a random geometric graph on the sphere synchronizes with probability tending to one as the number of nodes tends to infinity. To the best of our knowledge, this is the first rigorous result for the Kuramoto model on random geometric graphs.
en_US
dc.language.iso
en
en_US
dc.publisher
SIAM
en_US
dc.subject
Kuramoto
en_US
dc.subject
complex networks
en_US
dc.subject
dynamical systems
en_US
dc.subject
random graphs
en_US
dc.title
Guarantees for Spontaneous Synchronization on Random Geometric Graphs
en_US
dc.type
Journal Article
dc.date.published
2024-03-07
ethz.journal.title
SIAM Journal on Applied Dynamical Systems
ethz.journal.volume
23
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
SIAM J. on Applied Dynamical Systems
ethz.pages.start
779
en_US
ethz.pages.end
790
en_US
ethz.identifier.wos
ethz.publication.status
published
en_US
ethz.relation.isNewVersionOf
10.3929/ethz-b-000655257
ethz.date.deposited
2024-03-22T07:48:11Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2024-03-22T09:22:00Z
ethz.rosetta.lastUpdated
2024-03-22T09:22:00Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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