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.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 22, pp. 94–129, 1983.
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Lyashko, O.V. Geometry of bifurcation diagrams. J Math Sci 27, 2736–2759 (1984). https://doi.org/10.1007/BF01084819
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DOI: https://doi.org/10.1007/BF01084819