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Cascading failures in interdependent networks with finite functional components.

M A Di Muro1, S V Buldyrev2, H E Stanley3

  • 1Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR)-Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata-CONICET, Funes 3350, (7600) Mar del Plata, Argentina.

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Summary
This summary is machine-generated.

We modeled cascading failures in interdependent networks. The transition order depends on component size (s) and dependency distance (r), revealing distinct domain formation patterns.

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Area of Science:

  • Network science
  • Statistical physics
  • Complex systems

Background:

  • Interdependent networks are susceptible to cascading failures.
  • Understanding failure dynamics is crucial for system resilience.

Purpose of the Study:

  • To model cascading failures in two interdependent networks.
  • To analyze the impact of component size (s) and dependency distance (r) on system transitions.

Main Methods:

  • Theoretical analysis of a cascading failure model.
  • Computer simulations of complex networks and lattices.
  • Investigation of domain formation in functional nodes.

Main Results:

  • For random dependencies, the transition is first-order for s≥3 and continuous for s=2.
  • Increasing dependency distance (r) in lattices shifts the system from no transition to second-order, then to first-order collapse.
  • Different transition regimes correlate with distinct domain structures.

Conclusions:

  • The order of cascading failure transitions is sensitive to network interdependence parameters.
  • Component size and dependency constraints significantly influence system stability and failure modes.
  • Domain formation provides insights into the underlying mechanisms of cascading failures.