Adilson E Motter 2007 New J. Phys. 9 182 doi:10.1088/1367-2630/9/6/182
Bounding network spectra for network design
Focus on Complex Networked Systems: Theory and ApplicationAdilson E Motter
Show affiliationsPart of Focus on Complex Networked Systems: Theory and Application
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.
- PACS
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89.75.Hc Networks and genealogical trees
- Subjects
- Dates
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Issue 6 (June 2007)
Received 28 February 2007
Published 28 June 2007
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Bounding network spectra for network design
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