Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase lock and rotational motion of a parametric pendulum   The effect of noise on a rotational mode of a pendulum excited kinematically
in vertical direction has been analyzed. We have shown that for a weak noise
transitions from oscillations to rotations and vice versa are possible. For a
moderate noise level dynamics of the system is governed by a combination of the
excitation amplitude and stochastic component. Consequently for stronger noise
the rotational solution as an independent sychonized mode has vanished.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th