Topological Determinants of Perturbation Spreading in Networks - Kölner UniversitätsPublikationsServer

Zhang, Xiaozhu, Witthaut, Dirk and Timme, Marc ORCID: 0000-0002-5956-3137 (2020). Topological Determinants of Perturbation Spreading in Networks. Phys. Rev. Lett., 125 (21). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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DOI:10.1103/PhysRevLett.125.218301

Abstract

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 the spreading dynamics in diffusively coupled networks and disentangles them from factors that are system specific. In particular, we first analytically identify a purely topological factor encoding the interaction structure and strength, and second, numerically estimate a master function characterizing the universal scaling of the perturbation arrival times across topologically different networks. The proposed approach thereby provides intuitive insights into complex propagation patterns as well as accurate predictions for the perturbation arrival times. The approach readily generalizes to a wide range of networked systems with diffusive couplings and may contribute to assess the risks of transient influences of ubiquitous perturbations in real-world systems.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Zhang, Xiaozhu	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Witthaut, Dirk	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Timme, Marc	UNSPECIFIED	orcid.org/0000-0002-5956-3137	UNSPECIFIED