Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bryuno Function and the Standard Map   For the standard map the homotopically non-trivial invariant curves of
rotation number satisfying the Bryuno condition are shown to be analytic in the
perturbative parameter, provided the latter is small enough. The radius of
convergence of the Lindstedt series -- sometimes called critical function of
the standard map -- is studied and the relation with the Bryuno function is
derived: the logarithm of the radius of convergence plus twice the Bryuno
function is proved to be bounded (from below and from above) uniformily in the
rotation number.

10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc