 04212 Timoteo Carletti
 Exponentially long time stability near an equilibrium point
for nonlinearizable analytic vector fields.
(35K, latex)
Jul 13, 04

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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,
nonresonant and verifies a Brunolike condition, then the origin is
effectively stable: stable for finite but exponentially long times.
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