Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Invariant Tori for Differentiable Hamiltonian Vector Fields
  without Action-Angle Variables   We proved the existence of invariant tori in differentiable Hamiltonian
vector fields without action-angle variables. It is a generalization of the
result of [Llave, 2005] that deals with analytic vector fields.

24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc