Abstract
To model volatile real-world network behavior, we analyze a phase-flipping dynamical scale-free network in which nodes and links fail and recover. We investigate how stochasticity in a parameter governing the recovery process affects phase-flipping dynamics, and we find the probability that no more than of nodes and links fail. We derive higher moments of the fractions of active nodes and active links, and , and we define two estimators to quantify the level of risk in a network. We find hysteresis in the correlations of due to failures at the node level, and we derive conditional probabilities for phase-flipping in networks. We apply our model to economic and traffic networks.
- Received 2 December 2013
DOI:https://doi.org/10.1103/PhysRevE.89.042807
©2014 American Physical Society