Exponentially long time stability for non--linearizable analytic germs of $(\C^n,0)$
| dc.creator | Carletti, Timoteo | |
| dc.date | 2002-07-01 | |
| dc.date.accessioned | 2026-07-07T06:27:51Z | |
| dc.date.available | 2026-07-07T06:27:51Z | |
| dc.description | We study the Siegel--Schröder center problem on the linearization of analytic germs of diffeomorphisms in several complex variables, in the Gevrey--$s$, $s>0$ category. We introduce a new arithmetical condition of Bruno type on the linear part of the given germ, which ensures the existence of a Gevrey--$s$ formal linearization. We use this fact to prove the effective stability, i.e. stability for finite but long time, of neighborhoods of the origin for the analytic germ. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0207006 | |
| dc.identifier | http://arxiv.org/abs/math/0207006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97535 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 32A05; 37F50; 34E05 | |
| dc.title | Exponentially long time stability for non--linearizable analytic germs of $(\C^n,0)$ | |
| dc.type | text |