A dynamical characterization of the small world phase
Statistical Mechanics
2016-08-16 v1
Abstract
Small-world (SW) networks have been identified in many different fields. Topological coefficients like the clustering coefficient and the characteristic path length have been used in the past for a qualitative characterization of these networks. Here a dynamical approach is used to characterize the small-world phenomenon. Using the model, a coupled map dynamical system is defined on the network. Entrance to and exit from the SW phase are related to the behavior of the ergodic invariants of the dynamics.
Cite
@article{arxiv.cond-mat/0204573,
title = {A dynamical characterization of the small world phase},
author = {Tanya Araujo and R. Vilela Mendes and João Seixas},
journal= {arXiv preprint arXiv:cond-mat/0204573},
year = {2016}
}
Comments
8 pages Latex, 3 figures