Geodesic
On the prescribed-period problem for autonomous Hamiltonian systems
Electronic Journal of Differential Equations, Tome 1998 (1998).

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Summary: Asymptotically quadratic and subquadratic autonomous Hamiltonian systems are considered. Lower bounds for the number of periodic solutions with a prescribed minimal period are obtained. These bounds are expressed in terms of the numbers of frequencies corresponding to the critical points of the Hamiltonian. Results are based on a global analysis of families of periodic solutions emanating from these points.
Classification : 58F14, 58F22
Keywords: autonomous Hamiltonian system, periodic solutions, global analysis, prescribed-period problem 
@article{EJDE_1998__1998__a5,
     author = {Zevin, A.A.},
     title = {On the prescribed-period problem for autonomous {Hamiltonian} systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a5/}
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Zevin, A.A. On the prescribed-period problem for autonomous Hamiltonian systems. Electronic Journal of Differential Equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a5/