Existence of periodic orbits for vector fields via Fuller index and the averaging method
Date
2004-11-03
Authors
Benevieri, Pierluigi
Gavioli, Andrea
Villarini, Massimo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Vector fields on manifolds, Periodic orbits, Fuller index
Citation
Benevieri, 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.
Rights
Attribution 4.0 International