Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian descriptors for the Bunimovich stadium billiard   We apply the concept of Lagrangian descriptors to the dynamics on the
Bunimovich stadium billiard, a 2D ergodic system with singular families of
trajectories, namely, the bouncing ball and the whispering gallery orbits. They
play a central role in structuring the phase space, which is unveiled here by
means of the Lagrangian descriptors applied to the associated map on the
boundary. More interestingly, we also consider the open stadium, which in the
optical case (Fresnel's laws) can be directly related to recent microlaser
experiments. We find that the structure of the emission profile of these
systems can be easily described thanks to the open version of the Lagrangian
descriptors.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph