Singularities of general one-dimensional motions of the plane and space
Christopher G. Gibson, C. A. Hobbs
Abstract
Christopher G. Gibson, C. A. Hobbs
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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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