Cluster synchronization and isolated desynchronization in complex networks with symmetries

Louis M. Pecora (), Francesco Sorrentino, Aaron M. Hagerstrom, Thomas E. Murphy and Rajarshi Roy
Additional contact information
Louis M. Pecora: US Naval Research Laboratory
Francesco Sorrentino: University of New Mexico
Aaron M. Hagerstrom: University of Maryland
Thomas E. Murphy: Institute for Research in Electronics and Applied Physics, University of Maryland
Rajarshi Roy: Institute for Research in Electronics and Applied Physics, University of Maryland

Nature Communications, 2014, vol. 5, issue 1, 1-8

Abstract: Abstract Synchronization is of central importance in power distribution, telecommunication, neuronal and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these clusters or understand the conditions under which they form. Here we present a new framework and develop techniques for the analysis of network dynamics that shows the connection between network symmetries and cluster formation. The connection between symmetries and cluster synchronization is experimentally confirmed in the context of real networks with heterogeneities and noise using an electro-optic network. We experimentally observe and theoretically predict a surprising phenomenon in which some clusters lose synchrony without disturbing the others. Our analysis shows that such behaviour will occur in a wide variety of networks and node dynamics. The results could guide the design of new power grid systems or lead to new understanding of the dynamical behaviour of networks ranging from neural to social.

Date: 2014
References: Add references at CitEc
Citations: View citations in EconPapers (20)

Downloads: (external link)
https://www.nature.com/articles/ncomms5079 Abstract (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:5:y:2014:i:1:d:10.1038_ncomms5079

Ordering information: This journal article can be ordered from
https://www.nature.com/ncomms/

DOI: 10.1038/ncomms5079

Access Statistics for this article

Nature Communications is currently edited by Nathalie Le Bot, Enda Bergin and Fiona Gillespie

More articles in Nature Communications from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().