Electron. J. Diff. Eqns., Vol. 2004(2004), No. 128, pp. 1-14.

Existence of periodic orbits for vector fields via Fuller index and the averaging method

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.

Show me the PDF file (247K), TEX file, and other files for this article.

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
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
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

Return to the EJDE web page