A dynamical system approach to self-organized criticality (Q2754395)
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scientific article; zbMATH DE number 1671036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dynamical system approach to self-organized criticality |
scientific article; zbMATH DE number 1671036 |
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11 November 2001
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hyperbolic dynamical systems
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ergodicity
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criticality
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invariant state
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A dynamical system approach to self-organized criticality (English)
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We introduce a dynamical system approach to treat self-organized criticality and apply it to the Zhang's model [\textit{H. Y. Zhang}, Scaling theory of self-organized criticality, Phys. Rev. Let. 63, 470-473 (1988)]. In this setting, we pose several questions concerning ergodicity, criticality of the invariant state (SOC) genericity of the SOC behaviour, and partially solve them [see also the authors, J. Stat. Phys. 88, 307-318 (1997; Zbl 0918.58041) and J. Stat. Phys. 98, 375-404 (2000; Zbl 0991.82024)].NEWLINENEWLINEFor the entire collection see [Zbl 0926.00032].
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