Simultaneous first- and second-order percolation transitions in interdependent networks.

  title={Simultaneous first- and second-order percolation transitions in interdependent networks.},
  author={Dong Zhou and Amir Bashan and R. Cohen and Y. Berezin and N. Shnerb and S. Havlin},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={90 1},
  • Dong Zhou, Amir Bashan, +3 authors S. Havlin
  • Published 2014
  • Physics, Medicine, Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in the form of an abrupt first-order transition. When the fraction of initial failed nodes 1-p reaches criticality p = p(c), the abrupt collapse occurs by spontaneous cascading failures. At this stage, the giant component decreases slowly in a plateau form and the number of iterations in the cascade τ diverges. The origin of this… CONTINUE READING
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