Geometry of the Bifurcations of the Normalized Reduced Henon-Heiles Family

Details Geometry of the Bifurcations of the Normalized Reduced Henon-Heiles Family Geometry of the Bifurcations of the Normalized Reduced Henon-Heiles Family

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rspsa.382..361c&link_type=abstract

Proceedings of The Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 382, Issue 1783, pp. 361-371

Physics

10

Scientific paper

This paper deals with the global geometry of the bifurcations of a family of Hamiltonian functions that arises from normalizing the Henon-Heiles family to fourth-degree terms and then performing a reduction. This gives a geometric explanation of the bifurcation diagram for the main resonance in the model of axisymmetric galaxies of Braun and Verhulst.

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