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Beschreibung
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.
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.
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.
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.
Zusammenfassung
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: [...]
Inhaltsverzeichnis
Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks.- A Few Basic Concepts.- Examples of Dynamical Systems.- General Considerations.- Software Implementation.- Dynamical Systems on Dynamical Networks.- Other Resources.- Conclusion, Outlook, and Open Problems.- Appendix.
Details
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
| Inhalt: |
xiv
80 S. 1 s/w Illustr. 80 p. 1 illus. |
| ISBN-13: | 9783319266404 |
| ISBN-10: | 3319266403 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-26640-4 |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Porter, Mason
Gleeson, James |
| Auflage: | 1st edition 2016 |
| Hersteller: |
Springer
Springer International Publishing AG Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 6 mm |
| Von/Mit: | Mason Porter (u. a.) |
| Erscheinungsdatum: | 11.04.2016 |
| Gewicht: | 0,16 kg |