2016
DOI: 10.1103/physreve.93.012309
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Value of peripheral nodes in controlling multilayer scale-free networks

Abstract: We analyze the controllability of a two-layer network, where driver nodes can be chosen randomly only from one layer. Each layer contains a scale-free network with directed links, and the node dynamics depends on the incoming links from other nodes. We combine the indegree and out-degree values to assign an importance value w to each node, and distinguish between peripheral nodes with low w and central nodes with high w. Based on numerical simulations, we find that, the controllable part of the network is larg… Show more

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Cited by 21 publications
(17 citation statements)
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“…A much smarter solution, however, would focus only on a few agents, namely those with the ability to prevent large cascades. The problem to identify those agents is addressed in research about network controllability [6,14], which is related to control theory. The method assigns a control signal, i.e., an incentive to stay or to leave, to the identified agents with the most influence on the network dynamics [15], which are called driver nodes.…”
Section: Network Interventionsmentioning
confidence: 99%
“…A much smarter solution, however, would focus only on a few agents, namely those with the ability to prevent large cascades. The problem to identify those agents is addressed in research about network controllability [6,14], which is related to control theory. The method assigns a control signal, i.e., an incentive to stay or to leave, to the identified agents with the most influence on the network dynamics [15], which are called driver nodes.…”
Section: Network Interventionsmentioning
confidence: 99%
“…Early attempts have focused on the issues of controllability or observability with linear dynamics (Chapman et al, 2014;Menichetti et al, 2015;Wang et al, 2015;Yuan et al, 2014;Zhang et al, 2016;Zhou, 2015). For example, some controllability conditions on the overall network topology, the node dynamics, the external control inputs and the inner interactions have been derived for a networked MIMO system .…”
Section: Controlling Network Of Networkmentioning
confidence: 99%
“…Apart from temporal information, we often have access to data that capture multiple types of relations or interactions. The resulting multi-layer network topologies give rise to complications that threaten standard techniques, e.g., to infer and analyze social networks, detect community structures, or to model and control dynamical processes in networked systems [28,16,7,35,3].…”
Section: Motivationmentioning
confidence: 99%