Dynimics and entropy in the Zhang model of Self-Organized Criticality

Details Dynimics and entropy in the Zhang model of Self-Organized Criticality Dynimics and entropy in the Zhang model of Self-Organized Criticality

2004-11-26

arxiv.org/abs/math/0411590v3

Mathematics

Dynamical Systems

60 pages, 17 figures

Scientific paper

We give a detailed study of dynamical properties of the Zhang model,
including evaluation of topological entropy and estimates for the Lyapunov
exponents and the dimension of the attractor. In the thermodynamic limit the
entropy goes to zero and the Lyapunov spectrum collapses.

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