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Asymmetry in interdependence makes a multilayer system more robust against cascading failures
Run-Ran Liu1, Chun-Xiao Jia1, Ying-Cheng Lai2,3
1Alibaba Research Center for Complexity Sciences, Hangzhou Normal University, Hangzhou, Zhejiang 311121, China.
Physical Review. E
|December 25, 2019
Summary
Asymmetric interdependence in multilayer networks significantly impacts system robustness. This study reveals a phase transition switch from first to second order due to asymmetry, offering insights into network resilience.
Area of Science:
- Complex systems science
- Network science
- Statistical physics
Background:
- Multilayer networked systems are prevalent in nature and engineering.
- Robustness against failures in these systems is critical.
- Existing theories often assume symmetric interdependence, which is unrealistic.
Purpose of the Study:
- To investigate the impact of asymmetric interdependence on the robustness of multilayer networks.
- To quantify how asymmetry affects cascading failures.
- To understand the underlying mechanisms driving network resilience.
Main Methods:
- Focusing on percolation dynamics in double-layer systems.
- Implementing a failure mechanism sensitive to interdependent node positions.
- Developing a theoretical framework to calculate transition points.
Main Results:
- The degree of asymmetry dictates percolation transition characteristics.
- A switch in the phase transition order (first to second) is observed.
- Theoretical predictions are validated by numerical simulations on synthetic and empirical networks.
Conclusions:
- Asymmetric interdependence fundamentally alters multilayer network robustness.
- The findings provide a basis for designing resilient multilayer systems.
- Understanding asymmetry is key to predicting and controlling cascading failures.
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