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Dynamical systems on networks : a tutorial / by Mason Porter, James Gleeson.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Porter, Mason., Author.
- Gleeson, James, Author.
- Series:
- Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2364-4532 ; 4
- Language:
- English
- Subjects (All):
- Dynamics.
- Ergodic theory.
- Physics.
- Systems biology.
- Biological systems.
- Dynamical Systems and Ergodic Theory.
- Applications of Graph Theory and Complex Networks.
- Systems Biology.
- Local Subjects:
- Dynamical Systems and Ergodic Theory.
- Applications of Graph Theory and Complex Networks.
- Systems Biology.
- Physical Description:
- 1 online resource (91 p.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- ISBN:
- 3-319-26641-1
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