The impact of heterogeneous dependency strength on the robustness of multi-layer networks

Chaoyang Zhang, Liang Gao and J.F.F. Mendes

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: The representation of real-world complex systems using multi-layer networks has attracted significant research attention. However, the exploration of multi-layer networks with heterogeneous dependency strengths, reflecting node properties in complex systems more accurately, remains under explored. In this study, we extend the homogeneous dependency model to introduce degree-dependent heterogeneous dependency strengths: degree-positive and degree-negative. This establishes a theoretical framework for multi-layer networks with heterogeneous dependency strengths, which are based on node attributes. We derive accurate equations for simulating percolation processes in these networks and confirm the results through computational experiments. Comparative analysis of percolation phase transitions and the resilience of dependent layers under random attacks reveals distinct characteristics of this model, enhancing understanding of real-world complex systems. Our findings provide theoretical insights for designing resilient multi-layer networks with heterogeneous dependency strengths, better reflecting the complexities of real-world systems.

Keywords: Interdependent multi-layer network; Heterogeneous dependency strength; Basic dependency strength; Site percolation (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924013699
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013699

DOI: 10.1016/j.chaos.2024.115817

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().