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Abstract: The identification of the limiting factors in the dynamical behavior ofcomplex systems is an important interdisciplinary problem which often can betraced to the spectral properties of an underlying network. By deriving ageneral relation between the eigenvalues of weighted and unweighted networks,here I show that for a wide class of networks the dynamical behavior is tightlybounded by few network parameters. This result provides rigorous conditions forthe design of networks with predefined dynamical properties and for thestructural control of physical processes in complex systems. The results areillustrated using synchronization phenomena as a model process.



Autor: Adilson E. Motter

Fuente: https://arxiv.org/







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