Topological Determinants of Perturbation Spreading in Networks.

摘要: Spreading phenomena essentially underlie the dynamics of various natural and technological networked systems, yet how spatiotemporal propagation patterns emerge from such networks remains largely unknown. Here we propose a novel approach that reveals universal features determining spreading in diffusively coupled disentangles them factors are system specific. In particular, first analytically identify purely topological factor encoding interaction structure strength, second, numerically estimate master function characterizing scaling perturbation arrival times across topologically different networks. The proposed thereby provides intuitive insights into complex as well accurate predictions for times. readily generalizes to wide range systems with diffusive couplings may contribute assess risks transient influences ubiquitous perturbations real-world systems.