Avalanche dynamics-Reference-Cited by-同舟云学术

Avalanche dynamics

Published:2016-03-07 Issue:02 Volume:16 Page:1660005
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Denker Manfred¹,Levina Anna²³

Affiliation:

1. Pennsylvania State University, McAllister Room 230, State College, PA 16802, USA

2. Max Planck Institute for Mathematics in Sciences, Inselstrasse 22, 04103 Leipzig, Germany

3. Bernstein Center for Computational Neuroscience, Göttingen Am Fassberg 12, 37077 Göttingen, Germany

Abstract

The avalanche transformation as a model for avalanches in neural dynamics was introduced in [8] in 2008. Here we discuss this transformation in terms of group actions, random dynamics and skew products with a finite invariant measure. The results are based on [8]. Some open problems are mentioned.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493716600054

Reference9 articles.

1. Self-organized criticality: An explanation of the 1/fnoise

2. Neuronal Avalanches in Neocortical Circuits

3. Cambridge Tracts in Math. and Math. Phys.;Cassels J. W. S.,1966

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