article
What can one learn about self-organized criticality from dynamical systems theory?
published
yes
Philippe
Blanchard
author 40322
B
Cessac
author
Tyll
Krüger
author 87692
29104678
department
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.
KLUWER ACADEMIC/PLENUM PUBL2000
eng
functions systemsiteratedhyperbolic dynamical systemsself-organized criticality
JOURNAL OF STATISTICAL PHYSICS
0022-4715
00008544760001310.1023/A:1018639308981
981/2375-404
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Blanchard, P., Cessac, B., & Krüger, T. (2000). What can one learn about self-organized criticality from dynamical systems theory? <em>JOURNAL OF STATISTICAL PHYSICS</em>, <em>98</em>(1/2), 375-404. doi:10.1023/A:1018639308981</div>
Blanchard, P., Cessac, B., & Krüger, T. (2000). What can one learn about self-organized criticality from dynamical systems theory? <em>JOURNAL OF STATISTICAL PHYSICS</em>, <em>98</em>(1/2), 375-404. doi:10.1023/A:1018639308981
Blanchard P, Cessac B, Krüger T. What can one learn about self-organized criticality from dynamical systems theory? <em>JOURNAL OF STATISTICAL PHYSICS</em>. 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? <em>JOURNAL OF STATISTICAL PHYSICS</em>,98:(1/2): 375-404.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Blanchard, P., Cessac, B. & Krüger, T. (2000). What can one learn about self-organized criticality from dynamical systems theory? <em>JOURNAL OF STATISTICAL PHYSICS</em>, <em>98</em>(1/2), 375-404. KLUWER ACADEMIC/PLENUM PUBL. doi:10.1023/A:1018639308981.</div>
Blanchard, Philippe, Cessac, B, and Krüger, Tyll. “What can one learn about self-organized criticality from dynamical systems theory?”. <em>JOURNAL OF STATISTICAL PHYSICS</em> 98.1/2 (2000): 375-404.
P. Blanchard, B. Cessac, and T. Krüger, “What can one learn about self-organized criticality from dynamical systems theory?”, <em>JOURNAL OF STATISTICAL PHYSICS</em>, vol. 98, 2000, pp. 375-404.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Blanchard, Philippe, Cessac, B, and Krüger, Tyll. 2000. “What can one learn about self-organized criticality from dynamical systems theory?”. <em>JOURNAL OF STATISTICAL PHYSICS</em> 98 (1/2): 375-404.</div>
Blanchard P, Cessac B, Krüger T (2000) <br />What can one learn about self-organized criticality from dynamical systems theory?<br />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? <em>JOURNAL OF STATISTICAL PHYSICS</em> 98, 375-404.
Blanchard, P., Cessac, B., & Krüger, T., 2000. What can one learn about self-organized criticality from dynamical systems theory? <em>JOURNAL OF STATISTICAL PHYSICS</em>, 98(1/2), p 375-404.
Blanchard P, Cessac B, Krüger T (2000) <br /><em>JOURNAL OF STATISTICAL PHYSICS</em> 98(1/2): 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 <strong>98</strong>, 375 (2000).
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).
P. Blanchard, B. Cessac, and T. Krüger, “What can one learn about self-organized criticality from dynamical systems theory?”, <em>JOURNAL OF STATISTICAL PHYSICS</em>, <strong>2000</strong>, <em>98</em>, 375-404.
16205692010-04-28T13:04:51Z2018-07-24T12:58:50Z