Bifurcation diagrams and Fomenko’s surgery on Liouville tori of the Kolossoff potential $U=\rho +(1/\rho )-k\cos \phi $

Ljubomir Gavrilov; Mohammed Ouazzani-Jamil; Régis Caboz

Displaying similar documents to “Bifurcation diagrams and Fomenko’s surgery on Liouville tori of the Kolossoff potential $U = ρ + (1 / ρ) - k cos φ$ ”

Smoothness property for bifurcation diagrams.

Robert Roussarie (1997)

Publicacions Matemàtiques

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Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to subanalytic sets. But it is no longer true when the bifurcation is related to transition near singular points, for instance for a line of double limit cycles in a generic 2-parameter family at its end point which is a codimension 2 saddle connection bifurcation point. This line has a flat contact with...