Existence of periodic orbits for vector fields via Fuller index and the averaging method
dc.contributor.author | Benevieri, Pierluigi ( ![]() | |
dc.contributor.author | Gavioli, Andrea ( ![]() | |
dc.contributor.author | Villarini, Massimo ( ![]() | |
dc.date.accessioned | 2021-05-14T19:03:43Z | |
dc.date.available | 2021-05-14T19:03:43Z | |
dc.date.issued | 2004-11-03 | |
dc.identifier.citation | Benevieri, P., Gavioli, A., & Villarini, M. (2004). Existence of periodic orbits for vector fields via Fuller index and the averaging method. Electronic Journal of Differential Equations, 2004(128), pp. 1-14. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13549 | |
dc.description.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. | en_US |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.language.iso | en | en_US |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Vector fields on manifolds | en_US |
dc.subject | Periodic orbits | en_US |
dc.subject | Fuller index | en_US |
dc.title | Existence of periodic orbits for vector fields via Fuller index and the averaging method | en_US |
dc.type | publishedVersion | |
txstate.documenttype | Article | |
dc.rights.license | ![]() This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.description.department | Mathematics |