A Degenerate Bifurcation In The Hénon-Heiles Family

Details A Degenerate Bifurcation In The Hénon-Heiles Family A Degenerate Bifurcation In The Hénon-Heiles Family

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..81..249h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 81, Issue 3, p. 249-261 (2001).

Astronomy and Astrophysics

Astronomy

2

Hénon-Heiles System, Superintegrable System, Singular Reduction, Resonant Oscillators

Scientific paper

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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