A dynamical characterization of the small world phase

Details A dynamical characterization of the small world phase A dynamical characterization of the small world phase

2002-04-26

arxiv.org/abs/cond-mat/0204573v1

Physics Letters A 319 (2003) 285-289

Physics

Condensed Matter

Statistical Mechanics

8 pages Latex, 3 figures

Scientific paper

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 $\beta -$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.

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