Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times

Details Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times

2004-09-30

arxiv.org/abs/nlin/0409064v1

Physica D 214 (2006) 182-186

Nonlinear Sciences

Adaptation and Self-Organizing Systems

16 pages, 7 figures

Scientific paper

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.

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