Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials (FIADS, volume 4)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
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
“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)
Authors and Affiliations
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Math Institute, Radcliffe Observatory Quarter, Andrew Wiles Building, Woodstock Road, Oxford, United Kingdom
Mason Porter
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MACSI Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland
James Gleeson
Bibliographic Information
Book Title: Dynamical Systems on Networks
Book Subtitle: A Tutorial
Authors: Mason Porter, James Gleeson
Series Title: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
DOI: https://doi.org/10.1007/978-3-319-26641-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016
Softcover ISBN: 978-3-319-26640-4Published: 11 April 2016
eBook ISBN: 978-3-319-26641-1Published: 31 March 2016
Series ISSN: 2364-4532
Series E-ISSN: 2364-4931
Edition Number: 1
Number of Pages: XIV, 80
Number of Illustrations: 1 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Applications of Graph Theory and Complex Networks, Systems Biology, Systems Biology