Work

Linear stability analysis of large dynamical systems on random directed graphs

Year: 2020

Type: article

Abstract: This work analyzes how network architecture affects the linear stability of fixed points in dynamical systems defined on random, directed graphs. The authors derive results for the leading eigenvalue of the adjacency matrix representing the network and propose a phase diagram that separates a stable from an unstable regime

Source: Physical Review Research

DOI: 10.1103/physrevresearch.2.033313

Authors: Izaak Neri, Fernando Lucas Metz

Institutions: King's College London, Universidade Federal do Rio Grande do Sul, London Mathematical Laboratory

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico