One-dimensional motion of inelastic balls. I: Reduction to discrete time
type: Item
instance of: scholarly article
title: One-dimensional motion of inelastic balls. I: Reduction to discrete time
zbMATH Open document ID: 0861.70015
DOI: 10.1007/BF00973465
author: R. M. Garipov
author: E. V. Mamontov
published in: Siberian Mathematical Journal
publication date: 1994-11-08T00:00:00Z
review text: The authors approximately construct, for some values of system collision constants, an attracting invariant set of Hausdorff dimension greater than one, and an invariant measure on it. The system consists of two balls moving along the interval between walls. The balls and walls are absolutely rigid but inelastic. During the free motion the balls accelerate proportionally to their velocity. The authors consider a Poincaré-type map and prove the kneading, and consequently ergodicity, property.
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 652212
zbMATH Keywords: parallel walls
zbMATH Keywords: attracting invariant set
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: invariant measure
zbMATH Keywords: Poincaré-type map
zbMATH Keywords: ergodicity
MaRDI profile type: Publication
cites work: Deterministic Nonperiodic Flow
cites work: La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
description: scientific article; zbMATH DE number 652212