Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic dynamics in a simple bouncing ball model   We study dynamics of a ball moving in gravitational field and colliding with
a moving table. The motion of the limiter is assumed as periodic with piecewise
constant velocity - it is assumed that the table moves up with a constant
velocity and then moves down with another constant velocity. The Poincare map,
describing evolution from an impact to the next impact, is derived and
scenarios of transition to chaotic dynamics are investigated analytically.

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
1
The categories of this paper are: cs
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph