Frontiers in Applied Dynamical Systems: Reviews and Tutorials

Dynamical Systems on Networks

A Tutorial

Authors: Porter, Mason A., Gleeson, James P.

  • Serves as an accessible entry point into the study of dynamical systems on networks
  • Conveys why dynamical systems on networks is interesting
  • Presents important open problems in the fields of dynamical systems on networks
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-26641-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-26640-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 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.

 

Reviews

“This book by Porter and Gleeson is an excellent tutorial of dynamical systems interconnected as networks. … the book under review is highly recommended for students and researchers new to the dynamical systems view of networks. The authors take the best possible approach to presenting a problem for a very large audience.” (Juan Gonzalo Bajaras-Ramίrez, Mathematical Reviews, February, 2017) 

“The book is a relatively concise tutorial and a summary of references for the study of dynamical systems on networks. … This tutorial may serve as an accompanying source for the introduction to the field ‘Dynamical systems on networks’.” (Serhiy Yanchuk, zbMATH 1369.34001, 2017)


Table of contents (8 chapters)

  • Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks?

    Porter, Mason A. (et al.)

    Pages 1-2

  • A Few Basic Concepts

    Porter, Mason A. (et al.)

    Pages 3-4

  • Examples of Dynamical Systems

    Porter, Mason A. (et al.)

    Pages 5-27

  • General Considerations

    Porter, Mason A. (et al.)

    Pages 29-45

  • Software Implementation

    Porter, Mason A. (et al.)

    Pages 47-48

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-26641-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-26640-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems on Networks
Book Subtitle
A Tutorial
Authors
Series Title
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Series Volume
4
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26641-1
DOI
10.1007/978-3-319-26641-1
Softcover ISBN
978-3-319-26640-4
Series ISSN
2364-4532
Edition Number
1
Number of Pages
XIV, 80
Number of Illustrations and Tables
1 b/w illustrations
Topics