Percolation on coupled networks with multiple effective dependency links
Gaogao Dong1, Qunying Yao1, Fan Wang1
1School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013 Jiangsu, China.
Chaos (Woodbury, N.Y.)
|April 3, 2021
Summary
Complex network systems require multiple support links for functionality. Increased dependency links necessitate higher internal connectivity to prevent cascading failures and ensure system resilience.
Area of Science:
- Network Science
- Complex Systems Analysis
- Infrastructure Resilience
Background:
- Coupled complex systems are ubiquitous and essential for modeling intricate networks.
- Functional nodes in these systems require both internal connectivity and external support links.
- Understanding structural robustness is key to designing reliable infrastructure.
Purpose of the Study:
- To develop a theoretical framework for analyzing the structural robustness of coupled networks with multiple dependency links.
- To define criteria for functional nodes based on internal connectivity and external support.
- To investigate the impact of dependency links on system stability and failure dynamics.
Main Methods:
- Development of a theoretical model for coupled networks with defined functional node requirements.
- Derivation of analytical expressions for cascading failure processes and stable state node fractions.
- Calculation of critical thresholds for system collapse.
- Graphical representation of minimum connectivity densities for system survival.
Main Results:
- Coupled network systems exhibit abrupt phase transition behavior following initial failures.
- The study provides exact analytical expressions for key system dynamics.
- Minimum internal and inter-connectivity densities required for system survival are determined.
- Increased external support links (dependency links) necessitate higher internal connectivity to prevent collapse.
Conclusions:
- The findings offer a more realistic depiction of coupled complex systems.
- The research provides insights into designing more resilient infrastructure.
- The study highlights the trade-off between external dependency and internal connectivity requirements for system stability.
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