Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion?
type: Item
instance of: scholarly article
title: Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle's motion?
zbMATH Open document ID: 0845.70010
DOI: 10.1016/0960-0779(95)91375-8
author: Eligiusz Wajnryb
author: Janusz Szczepański
published in: Chaos, Solitons and Fractals
publication date: 1995-01-01T00:00:00Z
review text: The authors consider the motion of a particle confined to a region of the two-dimensional plane and subject to a certain reflection law at its boundary. It is their goal to show, by way of example, that properties of the particle motion such as ergodicity, chaotic behavior and periodicity cannot be directly read off from the reflection law. To that end they present numerical studies of a particle confined to a spherical region and to a quadratic region.
reviewed by: Volker Perlick
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 770020
zbMATH Keywords: periodicity
zbMATH Keywords: spherical region
zbMATH Keywords: quadratic region
MaRDI profile type: Publication
full work available at URL: 0960-0779(95)91375-8
OpenAlex ID: W1979834530
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description: scientific article; zbMATH DE number 770020