Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double scale analysis of periodic solutions of some non linear vibrating
  systems   We consider {\it small solutions} of a vibrating system with smooth
non-linearities for which we provide an approximate solution by using a double
scale analysis; a rigorous proof of convergence of a double scale expansion is
included; for the forced response, a stability result is needed in order to
prove convergence in a neighbourhood of a primary resonance.

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
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The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg