Geodesic
On Critical Level Sets of Some two Degrees of Freedom Integrable Hamiltonian Systems
Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 134-151

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that all Liouville's tori generic bifurcations of a large class of two degrees of freedom integrable Hamiltonian systems (the so called Jacobi–Moser–Mumford systems) are nondegenerate in the sense of Bott. Thus, for such systems, Fomenko's theory [4] can be applied (we give the example of Gel'fand–Dikii's system). We also check the Bott property for two interesting systems: the Lagrange top and the geodesic flow on an ellipsoid.
DOI : 10.4153/CJM-1998-007-7
Mots-clés : 70H05, 70H10, 58F14, 58F07 
Médan, Christine. On Critical Level Sets of Some two Degrees of Freedom Integrable Hamiltonian Systems. Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 134-151. doi: 10.4153/CJM-1998-007-7
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