Journal Article

On the classification and bifurcation of multigerms of maps from surfaces to 3-space

Abstract

The A-classification of multigerm singularities is discussed, based on the theory of complete transversals. An A-classification of r-multigerms from theplane to 3-space of A-codimension = 6 - r is carried out and the bifurcation geometry of these singularities analysed. This work has applications to the study of two-dimensional spatial motions, giving local models for the singularities which appear on general trajectories of rigid body motions from theplane to 3-space. In addition, our classification is extensive enough to give the full list of simple multigerm singularities from the plane to 3-space.

Attached files

Authors

Kirk, N P
Hobbs, C A

Dates

Year of publication: 2001
Date of RADAR deposit: 2008-11-24

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Related resources

This RADAR resource is the Author's Original of On the classification and bifurcation of multigerms of maps from surfaces to 3-space