Caustics, Wave Fronts, and Their Metamorphoses

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 8 in Catastrophe Theory, 1992, pp 33-44 from Springer

Abstract: Abstract One of the most important deductions of singularity theory is the universality of certain simple forms like folds and cusps which one can expect to encounter everywhere and which it is useful to learn to recognise. As well as the previously enumerated singularities, one often meets some further types, which have been given their own names: the ‘swallowtail’, the ‘pyramid’ (which Thorn calls the ‘elliptic umbilic’) the ‘purse’ (which Thorn calls the ‘hyperbolic umbilic’) and so on.

Keywords: Wave Front; Catastrophe Theory; Triaxial Ellipsoid; Visible Contour; Initial Front (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-58124-3_8

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