Robustness of coupled networks with multiple support from functional components at different scales
Gaogao Dong1,2,3, Nannan Sun1, Menglong Yan1
1School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, People's Republic of China.
Chaos (Woodbury, N.Y.)
|April 5, 2024
Summary
This study explores how coupled networks withstand attacks. It reveals critical link densities needed to prevent cascading failures and ensure system resilience, especially under stringent coupling conditions.
Area of Science:
- Network Science
- Complex Systems
- Infrastructure Resilience
Background:
- Robustness is crucial for modern network science.
- Node functionality in coupled networks depends on internal connectivity and inter-network support.
- Understanding cascading failures in interdependent networks is vital.
Purpose of the Study:
- To investigate the robustness of coupled networks under attack.
- To develop a theoretical framework for analyzing cascading failures in interdependent networks.
- To derive critical thresholds for system collapse and identify necessary connectivity densities.
Main Methods:
- Development of a theoretical framework.
- Analytical and numerical investigation of cascading failure processes.
- Derivation of expressions for functional nodes and critical collapse thresholds.
Main Results:
- Identified an abrupt phase transition in system robustness.
- Derived minimum inner and inter-connectivity densities required for system stability.
- Demonstrated that increased link density is necessary to prevent collapse, particularly with stringent coupling.
Conclusions:
- The study provides critical insights into the resilience of coupled networks.
- Results highlight the importance of link density for preventing cascading failures.
- Findings can inform decision-makers in designing more resilient infrastructure systems.
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