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Catastrophic cascade of failures in interdependent hypergraphs.

Lei Chen1, Yanpeng Zhu1, Fanyuan Meng1

  • 1Research Center for Complexity Sciences, Hangzhou Normal University, Hangzhou 311121, Zhejiang, China.

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|April 22, 2024
PubMed
Summary
This summary is machine-generated.

Failures cascade in interdependent systems. A threshold model reveals double-layer hypergraphs collapse abruptly, with robustness depending on connectivity and failure thresholds.

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Area of Science:

  • Complex systems science
  • Network theory
  • Statistical physics

Background:

  • Individual agent failures can destabilize interconnected systems.
  • Understanding cascading failures is crucial for system resilience.

Purpose of the Study:

  • To investigate cascading failures in double-layer hypergraphs with interlayer interdependence.
  • To develop a threshold model for analyzing systemic collapse dynamics.

Main Methods:

  • Developed a threshold model for hyperedge disintegration based on node failure proportions.
  • Analyzed cascading failures in double-layer hypergraphs considering interlayer interdependence.
  • Examined the impact of connectivity (average cardinality, hyperdegree) and threshold values on system robustness.

Main Results:

  • Double-layer hypergraphs exhibit first-order phase transitions during systemic collapse.
  • Higher average hyperdegree enhances system robustness.
  • System robustness shows non-monotonic behavior with average cardinality, being undermined by extreme values.
  • Increased threshold values improve system robustness.

Conclusions:

  • Cascading failure dynamics in double-layer hypergraphs are characterized by abrupt transitions.
  • System robustness is significantly influenced by network topology and failure parameters.
  • Findings offer insights for designing more resilient interdependent systems.