Periodic orbits of reversible Lagrangian systems without self-intersections and Mañé genericity
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908842681434112 |
|---|---|
| author | Rademacher, Hans-Bert |
| author_facet | Rademacher, Hans-Bert |
| contents | Bernard [3] showed that a Mañé generic convex Hamiltonian has only non-degenerate periodic orbits on a given energy level. We show that one can use this result to prove that for a generic potential the prime periodic orbits of fixed energy of a Lagrangian system of classical type on a compact manifold of dimension $n\ge 3$ do not have self-intersections and do not intersect each other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17833 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Periodic orbits of reversible Lagrangian systems without self-intersections and Mañé genericity Rademacher, Hans-Bert Dynamical Systems Differential Geometry 53C22 (Primary) 58E10 (Secondary) Bernard [3] showed that a Mañé generic convex Hamiltonian has only non-degenerate periodic orbits on a given energy level. We show that one can use this result to prove that for a generic potential the prime periodic orbits of fixed energy of a Lagrangian system of classical type on a compact manifold of dimension $n\ge 3$ do not have self-intersections and do not intersect each other. |
| title | Periodic orbits of reversible Lagrangian systems without self-intersections and Mañé genericity |
| topic | Dynamical Systems Differential Geometry 53C22 (Primary) 58E10 (Secondary) |
| url | https://arxiv.org/abs/2602.17833 |