A dynamical system approach to SOC models of Zhang's type (Q1285229)
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scientific article; zbMATH DE number 1279689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dynamical system approach to SOC models of Zhang's type |
scientific article; zbMATH DE number 1279689 |
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A dynamical system approach to SOC models of Zhang's type (English)
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19 August 1999
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The paper deals with Zhang's model for self-organized criticality (SOC) with constant activation energy in a dynamical systems framework and outlines some key properties. The authors show that the whole dynamics is described as a piecewise affine hyperbolic system with SBR invariant measures. They discuss the question of ergodicity in this mathematical framework.
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hyperbolic dynamics
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invariant sets
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invariant measures
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self-organized criticality
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