Bifurcations of affine equidistants

DOI10.1134/S0081543809040051zbMath1205.37060OpenAlexW2094199135MaRDI QIDQ600682

J. P. Warder, Vladimir M. Zakalyukin, Peter J. Giblin

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809040051

zbMATH Keywords

affine equidistantsgeneric bifurcations at the affine time

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10)

Related Items (11)

The improved isoperimetric inequality and the Wigner caustic of planar ovals ⋮ Singular points of the Wigner caustic and affine equidistants of planar curves ⋮ The Wigner caustic on shell and singularities of odd functions ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space ⋮ Isoperimetric equalities for rosettes ⋮ Geometry of curves and surfaces through the contact map ⋮ Singularities of the Minkowski set and affine equidistants for a curve and a surface ⋮ The geometry of the secant caustic of a planar curve ⋮ Singularities of the affine chord envelope for two surfaces in four-space ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs

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• Singularities of families of chords
• Bifurcations of the center of symmetry
• Recognition of centre symmetry set singularities
• A Classification of 1-Parameter Families of Map Germs R³ , 0 → R³ , 0 with Applications to Condensation Problems
• On the Classification of Germs of Maps from R² to R³
• Singularities of centre symmetry sets

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