Open AccessTaming out-of-equilibrium dynamics on interconnected networks
Author(s) -
Javier M. Buldú,
Federico Pablo-Martí,
Jacobo Aguirre
Publication year - 2019
Publication title -
nature communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.559
H-Index - 365
ISSN - 2041-1723
DOI - 10.1038/s41467-019-13291-2
Subject(s) - computer science , variety (cybernetics) , complex network , biological network , network topology , network structure , topology (electrical circuits) , phenomenology (philosophy) , network dynamics , dynamics (music) , distributed computing , statistical physics , theoretical computer science , artificial intelligence , mathematics , sociology , physics , discrete mathematics , combinatorics , world wide web , philosophy , pedagogy , epistemology , operating system
A wide variety of social, biological or technological systems can be described as processes taking place on networked structures in continuous interaction with other networks. We propose here a new methodology to describe, anticipate and manage, in real time, the out-of-equilibrium dynamics of processes that evolve on interconnected networks. This goal is achieved through the full analytical treatment of the phenomenology and its reduction to a two-dimensional flux diagram, allowing us to predict at every time step the dynamical consequences of modifying the links between the different ensembles. Our results are consistent with real data and the methodology can be translated to clustered networks and/or interconnected networks of any size, topology or origin, from the struggle for knowledge on innovation structures to international economic relations or disease spreading on social groups.