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Preprints of the Keldysh Institute of Applied Mathematics, 2002, 066
(Mi ipmp1040)
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Wave fronts and caustics of vector fields
V. P. Varin
Abstract:
We consider singularities of the wave front of a smooth plane curve from the viewpoint of planar vector fields and their singularities. This approach allows giving complete description of wave fronts, caustics, and their singularities in generic cases as well as in degenerate ones. We give explicit formulas for asymptotics in the neighborhood of singular points of wave fronts and caustics. We study some bifurcations of wave fronts and caustics under deformations of the curve.
Citation:
V. P. Varin, “Wave fronts and caustics of vector fields”, Keldysh Institute preprints, 2002, 066
Linking options:
https://www.mathnet.ru/eng/ipmp1040 https://www.mathnet.ru/eng/ipmp/y2002/p66
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Statistics & downloads: |
Abstract page: | 81 | Full-text PDF : | 16 |
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