1995•Proceedings of the Royal Society of Edinburgh Section A MathematicsRequires access

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

Christopher G. Gibson, C. A. Hobbs

Open publisher page 14 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Gravitational singularity, Plane (geometry), Point (geometry), Simple (philosophy), Space (punctuation), Tracing, Mathematics, Geometry

Related papers

Back to paper searchBrowse research topicsOriginal source
Singularities of general one-dimensional motions of the plane and space — Research Paper | ScholarLens