Dynamical Systems on Networks A Tutorial /

• Main Authors: Porter, Mason (Author), Gleeson, James (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 4
• Subjects: Mathematics.; Systems biology.; Dynamics.; Ergodic theory.; Biological systems.; Physics.; Dynamical Systems and Ergodic Theory.; Complex Networks.; Biological Networks, Systems Biology.; Systems Biology.

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 pr...

Table of 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.