Exponentially long time stability near an equilibrium point for non--linearizable analytic vector fields
Dynamical Systems
2009-11-10 v1 Complex Variables
Abstract
We study the orbit behavior of a germ of an analytic vector field of , . 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.
Cite
@article{arxiv.math/0407228,
title = {Exponentially long time stability near an equilibrium point for non--linearizable analytic vector fields},
author = {Timoteo Carletti},
journal= {arXiv preprint arXiv:math/0407228},
year = {2009}
}