The stability of periodic trajectories of a billiard ball in three dimensions
type: Item
instance of: scholarly article
title: The stability of periodic trajectories of a billiard ball in three dimensions
zbMATH Open document ID: 0788.70011
DOI: 10.1016/0021-8928(91)90103-2
author: I. I. Chigur
author: Valery V. Kozlov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-07T00:00:00Z
review text: The stability of periodic trajectories of a material point moving between two convex walls with elastic reflections is investigated. The problem is closely bound related to wave propagation theory in the shortwave approximation. The simplest periodic trajectory is a section of a straight line orthogonal to the wall at its endpoints. The problem of the stability of a two-part trajectory will be solved here in three dimensions.
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 500812
zbMATH Keywords: convex walls
zbMATH Keywords: elastic reflections
zbMATH Keywords: wave propagation
zbMATH Keywords: shortwave approximation
zbMATH Keywords: two-part trajectory
MaRDI profile type: Publication
full work available at URL: 0021-8928(91)90103-2
OpenAlex ID: W2048028438
cites work: Q5669645
cites work: A constructive method of establishing the validity of the theory of systems with non-retaining constraints
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description: scientific article; zbMATH DE number 500812