Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times
Adaptation and Self-Organizing Systems
2007-05-23 v1
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 and avalanches are interpreted as return times to a zero-measure set. The problem of accurate determination of the scaling exponents near the critical barrier is addressed using a characteristic function approach. A general equation for return times to a small measure set is established and used to obtain information on the nature of Bak-Sneppen dynamics.
Keywords
Cite
@article{arxiv.nlin/0409064,
title = {Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times},
author = {R. Vilela Mendes},
journal= {arXiv preprint arXiv:nlin/0409064},
year = {2007}
}
Comments
16 pages, 7 figures