Geometry of the bifurcations of the normalized reduced Henon–Heiles family
- 9 August 1982
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 382 (1783) , 361-371
- https://doi.org/10.1098/rspa.1982.0106
Abstract
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.Keywords
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