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"A random knockout of even a high fraction of nodes will not damage the network," Dr. Barabasi said.
The result, the authors write, is that "under some conditions, a large fraction of nodes will observe most of their neighbors in the active state, even when it is globally rare".
Figure 4 Graphical comparison of fraction of nodes disconnected.
The epidemics are seeded with randomly chosen fraction of nodes to avoid stochastic extinction.
V(s) is the fraction of nodes that get disconnected from the rest of the networks.
Recall: the fraction of nodes whose state is classified as infected out of all infected nodes.
In more details, during the setup phase, a predetermined fraction of nodes, p, elect themselves as CHs as follows.
We measure the resiliency in terms of fraction of links disconnected as well as fraction of nodes and regions disconnected.
Finally, two numerical examples indicate that complex dynamical networks with and without time-varying delay can achieve synchronization by pinning a small fraction of nodes.
Depending on application constraints, only a small fraction of nodes might be equipped with GPS or are placed in known positions (anchor nodesor beacons).
Our results show that, by impulsively controlling a crucial fraction of nodes in the response network, the outer synchronization can be achieved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com