Timoteo Carletti
Exponentially long time stability near an equilibrium point 
for non--linearizable analytic vector fields.
(35K, latex)

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.