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Network Risk and Forecasting Power in Phase-Flipping Dynamical Networks

Listed author(s):
  • B. Podobnik
  • A. Majdandzic
  • C. Curme
  • Z. Qiao
  • W. -X. Zhou
  • H. E. Stanley
  • B. Li
Registered author(s):

    In order to model volatile real-world network behavior, we analyze 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 find the probability that no more than q% of nodes and links fail. We derive higher moments of the fractions of active nodes and active links, $f_n(t)$ and $f_{\ell}(t)$, and define two estimators to quantify the level of risk in a network. We find hysteresis in the correlations of $f_n(t)$ due to failures at the node level, and derive conditional probabilities for phase-flipping in networks. We apply our model to economic and traffic networks.

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    Paper provided by in its series Papers with number 1401.7450.

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    Date of creation: Jan 2014
    Handle: RePEc:arx:papers:1401.7450
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