Decay of correlations and control of chaotic billiards
type: Item
instance of: scholarly article
title: Decay of correlations and control of chaotic billiards
zbMATH Open document ID: 0891.58029
DOI: 10.1016/S0898-1221(97)00135-1
publication date: 1998-07-20T00:00:00Z
review text: Billiards are dynamical systems with elastic reflections within a region which has a piecewise smooth boundary. In the paper, which is of experimental nature, the billiard is a square with a disc of radius \(R\) placed at its center. Moreover, there is a small hole at one segment of the boundary. By the activity \(A(t)\) is meant the number of particles leaving the system at time \(t:A(t)= -dN(t)/dt\), where \(N(t)\) is the number of particles in the system at time \(t\). As chaos control is used the sinusoidal perturbation to the disc to change the activity \(A(t)\).
reviewed by: A.Vaněček
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 1107132
zbMATH Keywords: billiards
zbMATH Keywords: correlation functions
zbMATH Keywords: chaos control
author: R. Willox
author: I. Antoniou
author: J. Levitan
MaRDI profile type: Publication
cites work: Laws and events: the dynamical basis of self-organization
cites work: Q5847989
cites work: Q3252595
cites work: Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
cites work: Q3955608
cites work: SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
cites work: Dynamical systems with elastic reflections
cites work: Billiards and Bernoulli schemes
cites work: Controlling chaos
full work available at URL: s0898-1221(97)00135-1
OpenAlex ID: W2010632078
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1107132