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Singularities of general one-dimensional motions of the plane and space

Published online by Cambridge University Press:  14 November 2011

C. G. Gibson  and
C. A. Hobbs
C. G. Gibson
Affiliation:
Department of Mathematics, University of Liverpool, PO Box 147, Liverpool L69 3BX. e-mail: su07@uk.ac.liverpool.ibm, cahobbs@brookes.ac.uk
C. A. Hobbs
Affiliation:
Department of Mathematics, University of Liverpool, PO Box 147, Liverpool L69 3BX. e-mail: su07@uk.ac.liverpool.ibm, cahobbs@brookes.ac.uk
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Extract

Local models are given for the singularities which can appear on the trajectories of general one-dimensional motions of the plane or space. Versal unfoldings of these model singularities give simple pictures describing the family of trajectories arising from small deformations of the tracing point.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 3 , 1995 , pp. 639 - 656
Copyright
Copyright © Royal Society of Edinburgh 1995

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