Benevieri, PierluigiGavioli, AndreaVillarini, Massimo2021-05-142021-05-142004-11-03Benevieri, P., Gavioli, A., & Villarini, M. (2004). Existence of periodic orbits for vector fields via Fuller index and the averaging method. <i>Electronic Journal of Differential Equations, 2004</i>(128), pp. 1-14.1072-6691https://hdl.handle.net/10877/13549We 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalVector fields on manifoldsPeriodic orbitsFuller indexArticle