Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-16
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
In nature and technology, network-like systems are typically coupled and the resilience of one is affected by the others. The failure of a small fraction of elements in the system may have catastrophic effects, by triggering a cascade of events which drastically affects the global connectivity. We show that by choosing the proper autonomous nodes, catastrophic cascading failures can be avoided. We reveal that, when a small optimal fraction of autonomous nodes (about 10%) is properly selected the nature of the percolation transition changes from discontinuous to continuous and the robustness of the system is significantly improved. This is in contrast to random selection where close to 50% of autonomous nodes are needed. Surprisingly, even for coupled Poissonian type networks, where the variety between the node degrees is small, the proper choice of autonomous nodes leads to a large improvement.
Araújo Nuno A. M.
Havlin Shlomo
Herrmann Hans Jürgen
Schneider Christian M.
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