00-40 Heinz Hanßmann, Britta Sommer

A degenerate bifurcation in the H\'enon-Heiles family (172K, PostScript, gzipped and uuencoded) Jan 24, 00

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Abstract. The normalised H\'enon-Heiles family exhibits a degenerate bifurcation when passing through the separable case ``$\beta = 0$''. We clarify the relation between this degeneracy and the integrability at $\beta = 0$~. Furthermore we show that the degenerate bifurcation carries over to the H\'enon-Heiles family itself.

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