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Pàgina inicial > Articles > Articles publicats > Smoothness property for bifurcation diagrams |
Data: | 1997 |
Resum: | 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 sub-analytic 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 the line of saddle connections. It is possible to prove that the flatness is smooth and to compute its asymptotic properties. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Publicat a: | Publicacions matemàtiques, V. 41 n. 1 (1997) p. 243-268, ISSN 2014-4350 |
26 p, 206.5 KB |