A dynamical characterization of the small world phase
arXiv:cond-mat/0204573 · doi:10.1016/j.physleta.2003.10.031
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.
8 pages Latex, 3 figures