• DocumentCode
    626992
  • Title

    New spectral graph theoretic conditions for synchronization in directed complex networks

  • Author

    Hui Liu ; Ming Cao ; Chai Wah Wu

  • Author_Institution
    Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands
  • fYear
    2013
  • fDate
    19-23 May 2013
  • Firstpage
    2307
  • Lastpage
    2310
  • Abstract
    This paper proposes lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization. The novel idea of graph comparison from spectral graph theory is employed so that the topological features of a given network can be fully utilized to simplify computations. For large networks that can be decomposed into a set of smaller strongly connected components, the comparison can be carried out at the local level as well.
  • Keywords
    complex networks; directed graphs; network theory (graphs); oscillators; synchronisation; directed complex networks; directed networks; oscillator coupling strength; spectral graph theoretic conditions; topological features; Complex networks; Couplings; Graph theory; Laplace equations; Oscillators; Symmetric matrices; Synchronization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
  • Conference_Location
    Beijing
  • ISSN
    0271-4302
  • Print_ISBN
    978-1-4673-5760-9
  • Type

    conf

  • DOI
    10.1109/ISCAS.2013.6572339
  • Filename
    6572339