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.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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.
Stichworte
functions systems; iterated; hyperbolic dynamical systems; self-organized criticality
Erscheinungsjahr
2000
Zeitschriftentitel
JOURNAL OF STATISTICAL PHYSICS
Band
98
Ausgabe
1/2
Seite(n)
375-404
ISSN
0022-4715
Page URI
https://pub.uni-bielefeld.de/record/1620569

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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. doi:10.1023/A:1018639308981
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.