Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period sets of linear toral endomorphisms on $T^2$   The period set of a dynamical system is defined as the subset of all integers
$n$ such that the system has a periodic orbit of length $n$. Based on known
results on the intersection of period sets of torus maps within a homotopy
class, we give a complete classification of the period sets of (not necessarily
invertible) toral endomorphisms on the $2$--dimensional torus $\mathbb{T}^2$.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci