Crash dynamics of interdependent networks

Li, Jie; Xia, Chengyi; Xiao, Gaoxi; Moreno, Yamir

doi:10.1038/s41598-019-51030-1

Cited by 7 publications

(1 citation statement)

References 43 publications

(48 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Studies show that the coupling between networks reduces the robustness of systems [23,24]. However, most of the above studies is based on random failures.…”

Section: Introductionmentioning

confidence: 99%

A possible quadruple point in networks of directed networks under targeted attacks

Liu,

Lv,

2023

New J. Phys.

View full text Add to dashboard Cite

Many real systems are known to interact with one another, forming networks of networks. Plenty of attention has been poured into the research on the robustness in networks of networks in the past decade. Previous studies focus on undirected networks, or directed networks under random attacks. While many real networks are directed and how networks of directed networks respond to targeted attacks remains unknown. We thus develop a general analytical tool for analyzing the robustness of networks of directed networks under two kinds of targeted attacks: degree-based attacks and in-degree (out-degree)-based attacks. The analytical tool can perfectly predict the sizes of the nal giant strongly connected components and the phase transitions on the networks of directed networks in response to targeted attacks. By applying the tool to synthesis networks, we nd that a quadruple point intersected by four di erent phase regions could appear in the random regular networks of directed networks. To the best of our knowledge, it is the rst time that a quadruple point is found in the studies of complex networks. In addition, we nd triple points intersected by three phases in networks of directed scale free (SF) networks, and critical points that connect two phases in networks of directed Erd os-R enyi (ER) networks. The discovery of these tipping points could help understand network robustness and enable better design of networked systems.

show abstract

“…Studies show that the coupling between networks reduces the robustness of systems [23,24]. However, most of the above studies is based on random failures.…”

Section: Introductionmentioning

confidence: 99%