Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponentially long time stability near an equilibrium point for
  non--linearizable analytic vector fields   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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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph