Optimal stability and instability results for a class of nearly integrable Hamiltonian systems
| dc.creator | Berti, Massimiliano | |
| dc.creator | Biasco, Luca | |
| dc.creator | Bolle, Philippe | |
| dc.date | 2002-03-19 | |
| dc.date.accessioned | 2026-07-07T04:47:09Z | |
| dc.date.available | 2026-07-07T04:47:09Z | |
| dc.description | We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigonometric polynomial) $O(μ)$-perturbation which does not preserve the unperturbed tori. We prove the existence of Arnold diffusion with diffusion time $T_d = O((1/ μ) \log (1/ μ))$ by a variational method which does not require the existence of ``transition chains of tori'' provided by KAM theory. We also prove that our estimate of the diffusion time $T_d$ is optimal as a consequence of a general stability result proved via classical perturbation theory. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203188 | |
| dc.identifier | http://arxiv.org/abs/math/0203188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63599 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Functional Analysis | |
| dc.subject | 37J40; 37J45 | |
| dc.title | Optimal stability and instability results for a class of nearly integrable Hamiltonian systems | |
| dc.type | text |