A dynamical system approach to SOC models of Zhang's type
type: Item
instance of: scholarly article
title: A dynamical system approach to SOC models of Zhang's type
zbMATH Open document ID: 0918.58041
DOI: 10.1007/BF02508473
published in: Journal of Statistical Physics
publication date: 1999-08-19T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 82C41
zbMATH DE Number: 1279689
zbMATH Keywords: hyperbolic dynamics
zbMATH Keywords: invariant sets
zbMATH Keywords: invariant measures
zbMATH Keywords: self-organized criticality
author: Ph. Blanchard
author: Bruno Cessac
author: Tyll Krueger
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02508473
OpenAlex ID: W2009822354
description: scientific article; zbMATH DE number 1279689