Bounding network spectra for network design

dc.creatorMotter, Adilson E.
dc.date2007-05-01
dc.date.accessioned2026-07-07T08:13:25Z
dc.date.available2026-07-07T08:13:25Z
dc.descriptionThe identification of the limiting factors in the dynamical behavior 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 behavior 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.
dc.description17 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0705.0089
dc.identifierhttp://arxiv.org/abs/0705.0089
dc.identifierNew J. Phys. 9, 182 (2007)
dc.identifierdoi:10.1088/1367-2630/9/6/182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132761
dc.subjectDisordered Systems and Neural Networks
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectChaotic Dynamics
dc.titleBounding network spectra for network design
dc.typetext

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