Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems
| dc.creator | Liu, Zhenxin | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:20Z | |
| dc.date.available | 2026-07-07T05:18:20Z | |
| dc.description | Chow, Li and Yi in [2] proved that the majority of the unperturbed tori {\it on sub-manifolds} will persist for standard Hamiltonian systems. Motivated by their work, in this paper, we study the persistence and tangent frequencies preservation of lower dimensional invariant tori on smooth sub-manifolds for real analytic, nearly integrable Hamiltonian systems. The surviving tori might be elliptic, hyperbolic, or of mixed type. | |
| dc.description | 25 pages. To appear in Nonlinear Analysis: TMA | |
| dc.identifier | https://arxiv.org/abs/math/0503530 | |
| dc.identifier | http://arxiv.org/abs/math/0503530 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74627 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37J40; 70H08 | |
| dc.title | Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems | |
| dc.type | text |