Author, as appears in the article.: Skardal, Per Sebastian; Taylor, Dane; Sun, Jie; Arenas, Alex
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro
Keywords: Stability
Abstract: A wide range of natural and engineered phenomena rely on large networks of interacting units to reach a dynamical consensus state where the system collectively operates. Here we study the dynamics of self-organizing systems and showthat for generic directed networks the collective frequency of the ensemble is not the same as the mean of the individuals' natural frequencies. Specifically, we showthat the collective frequency equals a weighted average of the natural frequencies, where the weights are given by an outflow centrality measure that is equivalent to a reverse PageRank centrality. Our findings uncover an intricate dependence of the collective frequency on both the structural directedness and dynamical heterogeneity of the network, and also reveal an unexplored connection between synchronization and PageRank, which opens the possibility of applying PageRank optimization to synchronization. Finally, we demonstrate the presence of collective frequency variation in real-world networks by considering the UK and Scandinavian power grids.
Thematic Areas: Zootecnia / recursos pesqueiros Statistics and probability Statistical and nonlinear physics Saúde coletiva Química Physics, mathematical Physics, fluids & plasmas Odontología Medicina ii Medicina i Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General medicine Farmacia Engenharias iv Engenharias iii Engenharias ii Educação física Educação Economia Condensed matter physics Ciências biológicas ii Ciências biológicas i Ciências ambientais Ciências agrárias i Ciência da computação Biotecnología Biodiversidade Astronomia / física
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: alexandre.arenas@urv.cat
Author identifier: 0000-0003-0937-0334
Record's date: 2024-09-28
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042314
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Physical Review e. 93 (4): 042314-
APA: Skardal, Per Sebastian; Taylor, Dane; Sun, Jie; Arenas, Alex (2016). Collective frequency variation in network synchronization and reverse PageRank. Physical Review e, 93(4), 042314-. DOI: 10.1103/PhysRevE.93.042314
Article's DOI: 10.1103/PhysRevE.93.042314
Entity: Universitat Rovira i Virgili
Journal publication year: 2016
Publication Type: Journal Publications