This volume is a tutorial for the study of dynamical systems on
networks. It discusses both methodology and models, including spreading
models for social and biological contagions. The authors focus
especially on "simple" situations that are analytically tractable,
because they are insightful and provide useful springboards for the
study of more complicated scenarios.
This tutorial, which also includes key pointers to the literature,
should be helpful for junior and senior undergraduate students, graduate
students, and researchers from mathematics, physics, and engineering who
seek to study dynamical systems on networks but who may not have prior
experience with graph theory or networks.
Mason A. Porter is Professor of Nonlinear and Complex Systems at the
Oxford Centre for Industrial and Applied Mathematics, Mathematical
Institute, University of Oxford, UK. He is also a member of the CABDyN
Complexity Centre and a Tutorial Fellow
of Somerville College. James P. Gleeson is Professor of Industrial and
Applied Mathematics, and co-Director of MACSI, at the University of
Limerick, Ireland.