Some fractal aspects of Self-Organized Criticality

Abstract : The concept of Self-Organized Criticality (SOC) was proposed in an attempt to explain the widespread appearance of power-law in nature. It describes a mechanism in which a system reaches spontaneously a state where the characteristic events (avalanches) are distributed according to a power law. We present a dynamical systems approach to Self-Organized Criticality where the dynamics is described either in terms of Iterated Function Systems, or as a piecewise hyperbolic dynamical system of skew-product type. Some results linking the structure of the attractor and some characteristic properties of avalanches are discussed.
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Contributeur : Bruno Cessac <>
Soumis le : lundi 25 octobre 2010 - 20:42:34
Dernière modification le : vendredi 12 janvier 2018 - 01:55:24

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B. Cessac. Some fractal aspects of Self-Organized Criticality. Fractales en progres, Nov 2003, Paris, France. 2004. 〈inria-00529556〉



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