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

C. G. Gibson; C. A. Hobbs

doi:10.1017/S030821050003273X

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

C. G. Gibson, C. A. Hobbs

University of Liverpool

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	639-656
Number of pages	18
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	125
Issue number	3
DOIs	https://doi.org/10.1017/S030821050003273X
Publication status	Published - 1995
Externally published	Yes

Funding

*The second author gratefully acknowledges financial Research Council. Current address: School of Computing University, Gipsy Lane, Oxford OX3 OBP.

ASJC Scopus subject areas

General Mathematics

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10.1017/S030821050003273X

Cite this

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title = "Singularities of general one-dimensional motions of the plane and space",

abstract = "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.",

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AB - 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.

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DO - 10.1017/S030821050003273X

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IS - 3

ER -

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

Abstract

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ASJC Scopus subject areas

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