Geodesic
On the prescribed-period problem for autonomous Hamiltonian systems
Electronic journal of differential equations, Tome 1998 (1998)
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},
     year = {1998},
     volume = {1998},
     zbl = {0891.58014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a5/}
}
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TI  - On the prescribed-period problem for autonomous Hamiltonian systems
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VL  - 1998
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%0 Journal Article
%A Zevin,  A.A.
%T On the prescribed-period problem for autonomous Hamiltonian systems
%J Electronic journal of differential equations
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%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a5/
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%F EJDE_1998__1998__a5
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/