Transient dynamics increasing network vulnerability to cascading failures.
We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws. It is found that considering the flow dynamics may imply reduced network robustness compared to previous static overload failure models. This is due to the transient oscillations or overshooting in the loads, when the flow dynamics adjusts to the new (remaining) network structure. The robustness of networks showing cascading failures is generally given by a complex interplay between the network topology and flow dynamics.
Simonsen
Ingve
I
Dresden University of Technology, Andreas-Schubert-Strasse 23, D-01086 Dresden, Germany. Ingve.Simonsen@phys.ntnu.no
Buzna
Lubos
L
Peters
Karsten
K
Bornholdt
Stefan
S
Helbing
Dirk
D