Cascade-Based Attacks on Complex Networks¶
Motter, A. E., & Lai, Y. (2002). Cascade-Based Attacks on Complex Networks. Physical Review E, 66(6).
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Cascade
- The structural insight is robust across substrates: a neutron in a fissile mass, an overloaded power line, a defaulting bank, a removed apex predator, and an activated kinase all exhibit the same propagation logic — flip, re-emit, flip the neighbor.
This sourceModels cascading overload failures as load redistribution across coupled network nodes whose thresholds (capacities) are exceeded in turn; abstracts the flip-re-emit-flip logic into initiating node, coupling edges, and node thresholds and grounds the containment levers of edge-cutting and threshold-raising. Rev. E Vol. 66(6), Article 065102, 2002, and the load-redistribution cascade model.
Supported in partVerified against the work's full text
Motter and Lai support overload cascades on networks such as power grids and the Internet; nuclear, ecological and kinase cases are outside the paper.
“If it increases and becomes larger than the capacity, the corre- sponding node fails. Any failure leads to a new redistribution of loads and, as a result, subsequent failures can occur.”
- The structural insight is robust across substrates: a neutron in a fissile mass, an overloaded power line, a defaulting bank, a removed apex predator, and an activated kinase all exhibit the same propagation logic — flip, re-emit, flip the neighbor.
- Percolation Threshold
- Infrastructure — cascading failures propagate end to end when the failed-element fraction crosses a structural threshold; below, failures stay contained.
This sourceShows load-redistribution cascades propagate system-wide once a critical fraction of (high-load) elements fails — the infrastructure cascading-failure threshold; contained below it.
Supported in partVerified against the work's full text
Shows load-redistribution cascades can spread network-wide or stay contained, but the switch is load heterogeneity and the trigger node's load, not a failed-fraction threshold.
“global cascades occur if ... highly heterogeneous distribution of loads ... Otherwise, cascades are not expected.”
- Infrastructure — cascading failures propagate end to end when the failed-element fraction crosses a structural threshold; below, failures stay contained.
Verification¶
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