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Geometry and dynamics of planar linkages
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Magalhães, M. L. S. and Pollicott, Mark (2013) Geometry and dynamics of planar linkages. Communications in Mathematical Physics, Volume 317 (Number 3). pp. 615-634. doi:10.1007/s00220-012-1521-0 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-012-1521-0
Abstract
In this article we present an approach to describing the geometry and curvature of the configuration spaces of a class of simple idealized planar linkages. This is based on determining the curvature of such configuration spaces canonically embedded into Euclidean space, and then the behaviour of the dynamics of such linkages can be understood via the associated geodesic flow. Our objective is to present a method which, in principle, can be applied to many different examples.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0010-3616 | ||||
Official Date: | February 2013 | ||||
Dates: |
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Volume: | Volume 317 | ||||
Number: | Number 3 | ||||
Page Range: | pp. 615-634 | ||||
DOI: | 10.1007/s00220-012-1521-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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