04-212 Timoteo Carletti
Exponentially long time stability near an equilibrium point for non--linearizable 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, non--resonant and verifies a Bruno--like condition, then the origin is effectively stable: stable for finite but exponentially long times.

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