Dynamical Systems on Networks: A Tutorial
Adaptation and Self-Organizing Systems
2015-05-05 v2 Disordered Systems and Neural Networks
Statistical Mechanics
Social and Information Networks
Physics and Society
Abstract
We give a tutorial for the study of dynamical systems on networks. We focus especially on "simple" situations that are tractable analytically, because they can be very insightful and provide useful springboards for the study of more complicated scenarios. We briefly motivate why examining dynamical systems on networks is interesting and important, and we then give several fascinating examples and discuss some theoretical results. We also briefly discuss dynamical systems on dynamical (i.e., time-dependent) networks, overview software implementations, and give an outlook on the field.
Cite
@article{arxiv.1403.7663,
title = {Dynamical Systems on Networks: A Tutorial},
author = {Mason A. Porter and James P. Gleeson},
journal= {arXiv preprint arXiv:1403.7663},
year = {2015}
}
Comments
39 pages, 1 figure, submitted, more examples and discussion than original version, some reorganization and also more pointers to interesting directions