Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic super-exponential stability of invariant tori in Hamiltonian
  systems   In this article, we consider solutions starting close to some linearly stable
invariant tori in an analytic Hamiltonian system and we prove results of
stability for a super-exponentially long interval of time, under generic
conditions. The proof combines classical Birkhoff normal forms and a new method
to obtain generic Nekhoroshev estimates developed by the author and L.
Niederman in another paper. We will mainly focus on the neighbourhood of
elliptic fixed points, the other cases being completely similar.

4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th