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EnglishWe are concerned with non-autonomous radially symmetric systems with a singularity, which are T -periodic in time. By the use of topological degree theory, we prove the existence of large-amplitude periodic solutions whose minimal period is an integer multiple of T . Precise estimates are then given in the case of Keplerian-like systems, showing some resemblance between the orbits of those solutions and the circular orbits of the corresponding classical autonomous system.
| Titolo: | Periodic orbits of radially symmetric Keplerian-like systems: a topological degree approach |
| Autori: | |
| Data di pubblicazione: | 2008 |
| Rivista: | |
| Abstract: | We are concerned with non-autonomous radially symmetric systems with a singularity, which are T -periodic in time. By the use of topological degree theory, we prove the existence of large-amplitude periodic solutions whose minimal period is an integer multiple of T . Precise estimates are then given in the case of Keplerian-like systems, showing some resemblance between the orbits of those solutions and the circular orbits of the corresponding classical autonomous system. |
| Handle: | http://hdl.handle.net/11368/1803360 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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