Bounding network spectra for network design

Adilson E. Motter*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

The identification of the limiting factors in the dynamical behaviour of complex systems is an important interdisciplinary problem which often can be traced to the spectral properties of an underlying network. By deriving a general relation between the eigenvalues of weighted and unweighted networks, here I show that for a wide class of networks the dynamical behaviour is tightly bounded by few network parameters. This result provides rigorous conditions for the design of networks with predefined dynamical properties and for the structural control of physical processes in complex systems. The results are illustrated using synchronization phenomena as a model process.

Original languageEnglish (US)
Article number182
JournalNew Journal of Physics
Volume9
DOIs
StatePublished - Jun 28 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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