Dynamical Systems on Networks

A Tutorial

  • Mason Porter
  • James Gleeson

Part of the Frontiers in Applied Dynamical Systems: Reviews and Tutorials book series (FIADS, volume 4)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Mason A. Porter, James P. Gleeson
    Pages 3-4
  3. Mason A. Porter, James P. Gleeson
    Pages 5-27
  4. Mason A. Porter, James P. Gleeson
    Pages 29-45
  5. Mason A. Porter, James P. Gleeson
    Pages 47-48
  6. Mason A. Porter, James P. Gleeson
    Pages 49-51
  7. Mason A. Porter, James P. Gleeson
    Pages 53-54
  8. Mason A. Porter, James P. Gleeson
    Pages 55-56
  9. Back Matter
    Pages 57-80

About this book


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 Fe

llow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.


Dynamical systems Networks Percolation Compartmental models and biological applications Dynamics Complex networks Temporal dynamics Coupled oscillators Dynamical systems on networks Mean-field theories Social dynamics

Authors and affiliations

  • Mason Porter
    • 1
  • James Gleeson
    • 2
  1. 1.Math Institute, Radcliffe Observatory Quarter, Andrew Wiles Building, Woodstock RoadOxfordUnited Kingdom
  2. 2.MACSI Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland

Bibliographic information