Exponentially long time stability near an equilibrium point for non--linearizable analytic vector fields

Details Exponentially long time stability near an equilibrium point for non--linearizable analytic vector fields Exponentially long time stability near an equilibrium point for non--linearizable analytic vector fields

2004-07-13

arxiv.org/abs/math/0407228v1

Mathematics

Dynamical Systems

Scientific paper

10.1007/s00033-005-4080-9

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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