Complex network topologies and synchronization

Paolo Checco, Mario Biey, Gábor Vattay, Ljupco Kocarev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Synchronization in networks with different topologies is studied. We show that for a large class of oscillators there exist two classes of networks; class-A: networks for which the condition of stable synchronous state is σγ2 > a, and class-B: networks for which this condition reads γN/γ2 < b, where a and b are constants that depend on local dynamics, synchronous state and the coupling matrix, but not on the Laplacian matrix of the graph describing the topology of the network. Here γ1 = 0 < γ2 < . . . < γN are the eigenvalues of the Laplacian matrix, where N is the order of the graph. Synchronization in networks whose topology is described by classical random graphs and power-law random graphs when N → ∞ is investigated in detail.

Original languageEnglish
Title of host publicationISCAS 2006
Subtitle of host publication2006 IEEE International Symposium on Circuits and Systems, Proceedings
Pages2641-2644
Number of pages4
Publication statusPublished - Dec 1 2006
EventISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece
Duration: May 21 2006May 24 2006

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)0271-4310

Other

OtherISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
CountryGreece
CityKos
Period5/21/065/24/06

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Checco, P., Biey, M., Vattay, G., & Kocarev, L. (2006). Complex network topologies and synchronization. In ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings (pp. 2641-2644). [1693166] (Proceedings - IEEE International Symposium on Circuits and Systems).