Abstract
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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Kruglikov, B., Rypdal, M. Dynamics and Entropy in the Zhang Model of Self-Organized Criticality. J Stat Phys 122, 975–1039 (2006). https://doi.org/10.1007/s10955-005-9011-9
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DOI: https://doi.org/10.1007/s10955-005-9011-9