Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matched pairs of discrete dynamical systems   Matched pairs of Lie groupoids and Lie algebroids are studied. Discrete
Euler-Lagrange equations are written for the matched pairs of Lie groupoids. As
such, a geometric framework to analyse a discrete system by decomposing it into
two mutually interacting subsystems is established. Two examples are provided
to illustrate this strategy; the discrete dynamics on the trivial groupoid, and
the discrete dynamics on the special linear group.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int