Geometry and dynamics of planar linkages
type: Item
instance of: scholarly article
title: Geometry and dynamics of planar linkages
zbMATH Open document ID: 1260.55016
author: M. L. S. Magalhães
author: Mark Pollicott
published in: Communications in Mathematical Physics
publication date: 2013-02-04T00:00:00Z
review text: The authors analyse the curvature of the configuration space of a planar linkage with respect to the Riemannian metric induced by the natural embedding of the configuration space into the Euclidean space. They apply powerful methods of ergodic theory to describe the behaviour of the dynamics of the geodesic flow associated to such a linkage. The results of the paper apply to a more general class of linkages compared to the influential paper of \textit{T. J. Hunt} and \textit{R. S. MacKay} [Nonlinearity 16, No. 4, 1499--1510 (2003; Zbl 1040.37072)].
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 53C99
zbMATH DE Number: 6134516
zbMATH Keywords: linkage
zbMATH Keywords: configuration space
zbMATH Keywords: curvature
zbMATH Keywords: geodesic flow
reviewed by: Michael Farber
MaRDI profile type: Publication
full work available at URL: s00220-012-1521-0
OpenAlex ID: W1998805021
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DOI: 10.1007/S00220-012-1521-0
description: scientific article; zbMATH DE number 6134516