Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899128 | Physica D: Nonlinear Phenomena | 2006 | 5 Pages |
Abstract
A deterministic version of the Bak-Sneppen model is studied. The role of the Lyapunov spectrum in the onset of scale-free behavior is established, as well as the measure-theoretic nature of the Bak-Sneppen self-organized state. Avalanches are interpreted as return times to a small measure set and the problem of accurate determination of the scaling exponents near the critical barrier is addressed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R. Vilela Mendes,