Synchronizing weighted complex networks.

M Chavez; D-U Hwang; A Amann; S Boccaletti

doi:10.1063/1.2180467

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PubMed · 16599772

Synchronizing weighted complex networks.

M Chavez·D-U Hwang·A Amann·S Boccaletti

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Abstract

Real networks often consist of local units, which interact with each other via asymmetric and heterogeneous connections. In this work, we explore the constructive role played by such a directed and weighted wiring for the synchronization of networks of coupled dynamical systems. The stability condition for the synchronous state is obtained from the spectrum of the respective coupling matrices. In particular, we consider a coupling scheme in which the relative importance of a link depends on the number of shortest paths through it. We illustrate our findings for networks with different topologies: scale free, small world, and random wirings.

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Action Potentials Algorithms Animals Biological Clocks Computer Simulation Humans Models, Neurological Models, Statistical Nerve Net Neurons Nonlinear Dynamics Synaptic Transmission Time Factors Journal Article

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M Chavez, D-U Hwang, A Amann, S Boccaletti. 2006. Synchronizing weighted complex networks.. https://doi.org/10.1063/1.2180467

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