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Cascading failure dynamics on higher-order networks with load redistribution.

Zongning Wu1,2, Jiaying Yang1,2,3, Ying Fan3

  • 1School of Computer and Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, China.

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|December 13, 2024
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Higher-order structures in complex networks influence load redistribution and cascade failures. This study introduces a model showing these structures can cause phase transitions, making networks both robust and fragile.

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Area of Science:

  • Network Science
  • Physics
  • Computer Science

Background:

  • Load redistribution is crucial in complex networks.
  • Higher-order structures offer new insights into network dynamics.
  • The impact of higher-order structures on cascade failures and recovery is not fully understood.

Purpose of the Study:

  • To propose a load redistribution model incorporating higher-order structures and recovery strategies.
  • To investigate the influence of higher-order structures on cascade failure dynamics.
  • To analyze recovery processes using functional upgrading and reconstruction.

Main Methods:

  • Developed a novel load redistribution model with higher-order structures.
  • Implemented recovery strategies based on functional upgrading and reconstruction.
  • Analyzed cascading failure dynamics and phase transitions in networks.

Main Results:

  • Higher-order structures induce discontinuous phase transitions at low load redistribution.
  • The network dynamics exhibit a dual robust-yet-fragile character.
  • Largest connected component shows three distinct modes with increasing attack ratio under high higher-order structure density.

Conclusions:

  • Higher-order structures significantly impact network resilience and failure dynamics.
  • The proposed model provides a framework for understanding complex network behavior.
  • Findings are validated in real and modeled networks, highlighting practical implications.