What can one learn about self-organized criticality from dynamical systems theory?

Blanchard P, Cessac B, Krüger T (2000)
JOURNAL OF STATISTICAL PHYSICS 98(1/2): 375-404.

Journal Article | Published | English

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Abstract
We develop a dynamical system approach for the Zhang model of self-organized criticality, for which the dynamics can be described either in terms of iterated function systems or as a piecewise hyperbolic dynamical system of skew-product type. In this setting we describe the SOC attractor. and discuss its fractal structure. We show how the Lyapunov exponents, the Haussdorf dimensions. and the system size are related to the probability distribution of the avalanche size via the Ledrappier-Young formula.
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Blanchard P, Cessac B, Krüger T. What can one learn about self-organized criticality from dynamical systems theory? JOURNAL OF STATISTICAL PHYSICS. 2000;98(1/2):375-404.
Blanchard, P., Cessac, B., & Krüger, T. (2000). What can one learn about self-organized criticality from dynamical systems theory? JOURNAL OF STATISTICAL PHYSICS, 98(1/2), 375-404.
Blanchard, P., Cessac, B., and Krüger, T. (2000). What can one learn about self-organized criticality from dynamical systems theory? JOURNAL OF STATISTICAL PHYSICS 98, 375-404.
Blanchard, P., Cessac, B., & Krüger, T., 2000. What can one learn about self-organized criticality from dynamical systems theory? JOURNAL OF STATISTICAL PHYSICS, 98(1/2), p 375-404.
P. Blanchard, B. Cessac, and T. Krüger, “What can one learn about self-organized criticality from dynamical systems theory?”, JOURNAL OF STATISTICAL PHYSICS, vol. 98, 2000, pp. 375-404.
Blanchard, P., Cessac, B., Krüger, T.: What can one learn about self-organized criticality from dynamical systems theory? JOURNAL OF STATISTICAL PHYSICS. 98, 375-404 (2000).
Blanchard, Philippe, Cessac, B, and Krüger, Tyll. “What can one learn about self-organized criticality from dynamical systems theory?”. JOURNAL OF STATISTICAL PHYSICS 98.1/2 (2000): 375-404.
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