Pierluigi Benevieri, Andrea Gavioli, Massimo Villarini
Abstract:
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.
Submitted September 3, 2003. Published November 3, 2004.
Math Subject Classifications: 34C25, 34C29, 34C40, 37C10, 57R25.
Key Words: Vector fields on manifolds; periodic orbits; Fuller index.
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Pierluigi Benevieri Dipartimento di Matematica Applicata "G. Sansone" Università degli Studi di Firenze Via S. Marta 3, 50139 Firenze, Italy email: benevieri@dma.unifi.it |
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Andrea Gavioli Dipartimento di Matematica Pura e Applicata "G. Vitali" Università degli Studi di Modena e Reggio Emilia Via Campi 213/b, 41100 Modena, Italy email: gavioli@unimo.it |
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Massimo Villarini Dipartimento di Matematica Pura e Applicata "G. Vitali" Università degli Studi di Modena e Reggio Emilia Via Campi 213/b, 41100 Modena, Italy email: villarini@unimo.it |
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