Optimal Synchronizability in Networks of Coupled Systems: Topological View

Jafarizadeh, S; Veitch, D; Tofigh, F; Lipman, J; Abolhasan, M

Optimal Synchronizability in Networks of Coupled Systems: Topological View

Jafarizadeh, S Veitch, D

Tofigh, F

Lipman, J

Abolhasan, M

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Publisher:: Institute of Electrical and Electronics Engineers
Publication Type:: Journal Article
Citation:: IEEE Transactions on Network Science and Engineering, 2021, 8, (2), pp. 1517-1530
Issue Date:: 2021-04-01

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Field	Value	Language
dc.contributor.author	Jafarizadeh, S
dc.contributor.author	Veitch, D https://orcid.org/0000-0001-8163-3464
dc.contributor.author	Tofigh, F https://orcid.org/0000-0003-1802-488X
dc.contributor.author	Lipman, J https://orcid.org/0000-0003-2877-1168
dc.contributor.author	Abolhasan, M https://orcid.org/0000-0002-4282-6666
dc.date.accessioned	2022-03-14T05:34:22Z
dc.date.available	2022-03-14T05:34:22Z
dc.date.issued	2021-04-01
dc.identifier.citation	IEEE Transactions on Network Science and Engineering, 2021, 8, (2), pp. 1517-1530
dc.identifier.issn	2327-4697
dc.identifier.issn	2327-4697
dc.identifier.uri	http://hdl.handle.net/10453/155205
dc.description.abstract	Many engineered and natural systems are modeled as networks of coupled systems. Synchronization is one of their crucial and well-studied behaviors. Uniform coupling strength has been the benchmark practice in the majority of the literature. This paper considers nonuniform coupling strength, and a modified approach to the problem of synchronizability optimization, enabling a reduction to a spectral radius minimization problem, which can reach a unique optimal point on the Pareto Frontier. It is established that adding any edge to a connected graph can only improve synchronizability in this optimal measure. This result is utilized for developing a hierarchy between topologies. It is shown that several proposed structural parameters, including betweenness centrality, do not have any simple relationship to the optimal synchronizability measure.
dc.language	English
dc.publisher	Institute of Electrical and Electronics Engineers
dc.relation.ispartof	IEEE Transactions on Network Science and Engineering
dc.relation.isbasedon	10.1109/TNSE.2021.3063240
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Optimal Synchronizability in Networks of Coupled Systems: Topological View
dc.type	Journal Article
utslib.citation.volume	8
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - CRIN - Realtime Information Networks
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-03-14T05:34:21Z
pubs.issue	2
pubs.publication-status	Published
pubs.volume	8
utslib.citation.issue	2

Abstract:

Many engineered and natural systems are modeled as networks of coupled systems. Synchronization is one of their crucial and well-studied behaviors. Uniform coupling strength has been the benchmark practice in the majority of the literature. This paper considers nonuniform coupling strength, and a modified approach to the problem of synchronizability optimization, enabling a reduction to a spectral radius minimization problem, which can reach a unique optimal point on the Pareto Frontier. It is established that adding any edge to a connected graph can only improve synchronizability in this optimal measure. This result is utilized for developing a hierarchy between topologies. It is shown that several proposed structural parameters, including betweenness centrality, do not have any simple relationship to the optimal synchronizability measure.

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http://hdl.handle.net/10453/155205