Autor según el artículo: Skardal, Per Sebastian; Taylor, Dane; Sun, Jie; Arenas, Alex;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Arenas Moreno, Alejandro
Palabras clave: Stability
Resumen: 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.
Áreas temáticas: 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
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: alexandre.arenas@urv.cat
Identificador del autor: 0000-0003-0937-0334
Fecha de alta del registro: 2023-11-18
Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
Enlace a la fuente original: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042314
Referencia al articulo segun fuente origial: Physical Review e. 93 (4): 042314-
Referencia de l'ítem segons les normes 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
URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/
DOI del artículo: 10.1103/PhysRevE.93.042314
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2016
Tipo de publicación: Journal Publications
Repositori URV