Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of the Chaplygin ball on a rotating plane   This paper addresses the problem of the Chaplygin ball rolling on a
horizontal plane which rotates with constant angular velocity. In this case,
the equations of motion admit area integrals, an integral of squared angular
momentum and the Jacobi integral, which is a generalization of the energy
integral, and possess an invariant measure. After reduction the problem reduces
to investigating a three-dimensional Poincare map that preserves phase volume
(with density defined by the invariant measure). We show that in the general
case the system's dynamics is chaotic.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph