A single particle impact model for motion in avalanches
type: Item
instance of: scholarly article
title: A single particle impact model for motion in avalanches
zbMATH Open document ID: 1179.37117
author: J. J. P. Veerman
author: M. J. Romero-Vallés
author: Pedro J. Torres
author: D. N. Daescu
published in: Physica D
publication date: 2009-10-09T00:00:00Z
full work available at URL: https://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi
review text: The authors investigate the global dynamics of a particle bouncing down a staircase. The steps of the staircase are rectangular (with sides of the length \(a\) and \(b\)) and the staircase itself is forward inclined over an angle \(\varphi\). It is assumed that the particle falls at least one step during its orbit, the other orbits being trivial. The particle has the initial conditions \(V=(u,v)\), its velocity, and the position \(z\). These three coordinates define the dynamical space. The dynamics of this model is described in dependence on the staircase inclination. In particular, it is proved that all periodic orbits of this system are attractors.
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 37C27
zbMATH DE Number: 5612806
zbMATH Keywords: impact system
zbMATH Keywords: granular flow
zbMATH Keywords: periodic orbit
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2084897038
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DOI: 10.1016/J.PHYSD.2009.06.017
description: scientific article; zbMATH DE number 5612806