Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cartography of high-dimensional flows: A visual guide to sections and
  slices   Symmetry reduction by the method of slices quotients the continuous
symmetries of chaotic flows by replacing the original state space by a set of
charts, each covering a neighborhood of a dynamically important class of
solutions, qualitatively captured by a `template'. Together these charts
provide an atlas of the symmetry-reduced `slice' of state space, charting the
regions of the manifold explored by the trajectories of interest. Within the
slice, relative equilibria reduce to equilibria and relative periodic orbits
reduce to periodic orbits. Visualizations of these solutions and their unstable
manifolds reveal their interrelations and the role they play in organizing
turbulence/chaos.

15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat