Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The linearization of periodic Hamiltonian systems with one degree of
  freedom under the Diophantine condition   In this paper we are concerned with the periodic Hamiltonian system with one
degree of freedom, where the origin is a trivial solution. We assume that the
corresponding linearized system at the origin is elliptic, and the
characteristic exponents of the linearized system are $\pm i\omega$ with
$\omega$ be a Diophantine number, moreover if the system is formally
linearizable, then it is analytically linearizable. As a result, the origin is
always stable in the sense of Liapunov in this case.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin