- 00-40 Heinz Hanßmann, Britta Sommer
- A degenerate bifurcation in the H\'enon-Heiles family
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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.