This article is cited in 16 papers

Geometry of bifurcation diagrams

O. V. Lyashko


Abstract: The geometry of a bifurcation diagram in the base of a versal deformation of a singularity is studied for single singularities on a manifold with boundary. In particular, vector fields and groups of diffeomorphisms are studied which are defined in a neighborhood of a bifurcation diagram as are stratification of a bifurcation diagram and decomposition of singularities.

UDC: 515.164.15

 English version: Journal of Soviet Mathematics, 1984, 27:3, 2736–2759

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