- 04-212 Timoteo Carletti
- Exponentially long time stability near an equilibrium point
for non--linearizable analytic vector fields.
Jul 13, 04
(auto. generated ps),
of related papers
Abstract. We study the orbit behavior of a germ of an analytic vector field of
$(C^n,0)$, $n \geq 2$. We prove that if its linear part is semisimple,
non--resonant and verifies a Bruno--like condition, then the origin is
effectively stable: stable for finite but exponentially long times.