Abstract:
:A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries of the underlying matching problem can produce linear, quadratic or no dependence on degree correlation coefficients, depending on the nature of the underlying correlations. The results are supported by numerical simulations and help narrow the observed gap between the predicted and the observed number of driver nodes in real networks.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Pósfai M,Liu YY,Slotine JJ,Barabási ALdoi
10.1038/srep01067subject
Has Abstractpub_date
2013-01-01 00:00:00pages
1067issn
2045-2322journal_volume
3pub_type
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