Abstract
The normalised Hénon–Heiles family exhibits a degenerate bifurcation when passing through the separable case ‘β = 0’. We clarify the relation between this degeneracy and the integrability at β = 0. Furthermore we show that the degenerate bifurcation carries over to the Hénon–Heiles family itself.
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Hanßmann, H., Sommer, B. A Degenerate Bifurcation In The Hénon-Heiles Family. Celestial Mechanics and Dynamical Astronomy 81, 249–261 (2001). https://doi.org/10.1023/A:1013252302027
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DOI: https://doi.org/10.1023/A:1013252302027