Geodesic
Existence of periodic orbits for vector fields via Fuller index and the averaging method
Electronic journal of differential equations, Tome 2004 (2004)
We prove a generalization of a theorem proved by Seifert and Fuller concerning the existence of periodic orbits of vector fields via the averaging method. Also we show applications of these results to Kepler motion and to geodesic flows on spheres.
Classification : 34C25, 34C29, 34C40, 37C10, 57R25
Keywords: vector fields on manifolds, periodic orbits, fuller index 
@article{EJDE_2004__2004__a67,
     author = {Benevieri,  Pierluigi and Gavioli,  Andrea and Villarini,  Massimo},
     title = {Existence of periodic orbits for vector fields via {Fuller} index and the averaging method},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1076.34044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a67/}
}
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%A Villarini,  Massimo
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%J Electronic journal of differential equations
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Benevieri,  Pierluigi; Gavioli,  Andrea; Villarini,  Massimo. Existence of periodic orbits for vector fields via Fuller index and the averaging method. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a67/