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Trajectory singularities of general planar motions

Published online by Cambridge University Press:  14 November 2011

P. S. Donelan ,
C. G. Gibson  and
W. Hawes
P. S. Donelan
Affiliation:
School of Mathematical and Computing Sciences, Victoria University of Wellington, PO Box 600, Wellington, New Zealand
C. G. Gibson
Affiliation:
Department of Mathematical Sciences, University of Liverpool, PO Box 147, Liverpool L69 3BX, UK
W. Hawes
Affiliation:
School of Mathematics and Statistics, Middlesex University, Bounds Green Road, LondonN11 2NQ, UK
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Extract

Local models are given for the singularities that can appear on the trajectories ofgeneral motions of the plane with more than two degrees of freedom. Versal unfoldings of these model singularities give rise to computer-generated pictures describing the family of trajectories arising from small deformations of the tracing point, and determine the local structure of the bifurcation curves.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 1 , 1999 , pp. 37 - 55
Copyright
Copyright © Royal Society of Edinburgh 1999

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