KAM Theorem for Gevrey Hamiltonians
| dc.creator | Popov, Georgi | |
| dc.date | 2003-05-19 | |
| dc.date.accessioned | 2026-07-07T04:58:07Z | |
| dc.date.available | 2026-07-07T04:58:07Z | |
| dc.description | We consider Gevrey perturbations $H$ of a completely integrable Gevrey Hamiltonian $H_0$. Given a Cantor set $Ω_κ$ defined by a Diophantine condition, we find a family of KAM invariant tori of $H$ with frequencies $ω\in Ω_κ$ which is Gevrey smooth in a Whitney sense. Moreover, we obtain a symplectic Gevrey normal form of the Hamiltonian in a neighborhood of the union $Λ$ of the invariant tori. This leads to effective stability of the quasiperiodic motion near $Λ$. | |
| dc.identifier | https://arxiv.org/abs/math/0305264 | |
| dc.identifier | http://arxiv.org/abs/math/0305264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67505 | |
| dc.subject | Dynamical Systems | |
| dc.title | KAM Theorem for Gevrey Hamiltonians | |
| dc.type | text |