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Some fractal aspects of Self-Organized Criticality | | B. Cessac
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2 Sep 2004 | | Subject: | Adaptation and Self-Organizing Systems; Chaotic Dynamics; Statistical Mechanics | nlin.AO cond-mat.stat-mech nlin.CD | | 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. | | Source: | arXiv, nlin.AO/0409004 | | Services: | Forum | Review | PDF | Favorites | |
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