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Universal behavior of cascading failures in interdependent networks.

Dongli Duan1,2, Changchun Lv1, Shubin Si3

  • 1School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China.

Proceedings of the National Academy of Sciences of the United States of America
|October 19, 2019
PubMed
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Minor events can trigger cascading failures in critical infrastructures. This study presents a theory to analyze these failures in complex networks, revealing conditions for breakdown and improving system robustness.

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Area of Science:

  • Complex systems analysis
  • Network science
  • Disaster resilience

Background:

  • Interdependent networks are vulnerable to cascading failures initiated by minor events.
  • Real-world systems like power grids and critical infrastructures face catastrophic disruptions.
  • Understanding cascading failure dynamics is crucial for system stability.

Purpose of the Study:

  • To develop a self-consistent theory for analyzing cascading failures in interdependent networks.
  • To predict breakdown scenarios and understand percolation transition types (first-order vs. second-order).
  • To investigate the impact of node dynamics on cascading failure acceleration.

Main Methods:

  • Development of a theoretical framework for cascading failure analysis.
  • Modeling of interdependent networks with diverse dynamical systems (epidemics, biochemical processes).
  • Analysis of percolation transitions and node dynamics effects.

Main Results:

  • A systematic theory for analyzing cascading failures across various dynamical systems.
  • Identification of conditions determining first-order or second-order percolation transitions.
  • Proof that node dynamics consistently accelerate cascading processes.

Conclusions:

  • The developed theory provides testable predictions for cascading failure breakdown scenarios.
  • Node dynamics inherently speed up cascading failures in complex networks.
  • Results offer practical insights for engineering more robust networked systems.