Periodic orbits for Hamiltonian systems in cotangent bundles
| dc.creator | Golé, Christopher | |
| dc.date | 1991-11-11 | |
| dc.date.accessioned | 2026-07-07T09:14:44Z | |
| dc.date.available | 2026-07-07T09:14:44Z | |
| dc.description | We prove the existence of at least $cl(M)$ periodic orbits for certain time dependant Hamiltonian systems on the cotangent bundle of an arbitrary compact manifold $M$. These Hamiltonians are not necessarily convex but they satisfy a certain boundary condition given by a Riemannian metric on $M$. We discretize the variational problem by decomposing the time 1 map into a product of ``symplectic twist maps''. A second theorem deals with homotopically non trivial orbits in manifolds of negative curvature. | |
| dc.identifier | https://arxiv.org/abs/math/9201297 | |
| dc.identifier | http://arxiv.org/abs/math/9201297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152781 | |
| dc.subject | Dynamical Systems | |
| dc.title | Periodic orbits for Hamiltonian systems in cotangent bundles | |
| dc.type | text |