Work

Triadic percolation on multilayer networks

Year: 2025

Type: article

Abstract: Triadic interactions are special types of higher-order interactions that occur when regulator nodes modulate the interactions between other two or more nodes. In the presence of triadic interactions, a percolation process occurring on a single-layer network becomes a full fledged dynamical system, characterized by period doubling and a route to chaos. Here we generalize the model to multilayer networks and name it as the multilayer triadic percolation (MTP) model. We find a much richer dynamical behavior of the MTP model than its single-layer counterpart. MTP displays a Neimark-Sacker bifurcation, leading to oscillations of arbitrarily large period or pseudoperiodic oscillations. Moreover, MTP admits period-two oscillations without negative regulatory interactions, whereas single-layer systems only display discontinuous hybrid transitions. This comprehensive model offers new insights on the importance of regulatory interactions in real-world systems such as brain networks, climate, and ecological systems.

Source: Physical review. E

DOI: 10.1103/yvtg-wnn4

Authors: Hanlin Sun, Filippo Radicchi, Ginestra Bianconi

Institutions: Nordic Institute for Theoretical Physics, Stockholm University, KTH Royal Institute of Technology, Indiana University, Queen Mary University of London

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Air Force Office of Scientific Research

Awards: G31247534, Collaborative Research: AccelNet: Accelerating Discovery in Multilevel Network Science, Collaborative Research: AccelNet: Accelerating Discovery in Multilevel Network Science