Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a system of difference equations of second order solved in a closed
  from   In this work we solve in closed form the system of difference equations
\begin{equation*}
  x_{n+1}=\dfrac{ay_nx_{n-1}+bx_{n-1}+c}{y_nx_{n-1}},\;
y_{n+1}=\dfrac{ax_ny_{n-1}+by_{n-1}+c}{x_ny_{n-1}},\;n=0,1,..., \end{equation*}
where the initial values $x_{-1}$, $x_0$, $y_{-1}$ and $y_0$ are arbitrary
nonzero real numbers and the parameters $a$, $b$ and $c$ are arbitrary real
numbers with $c\ne 0$. In particular we represent the solutions of some
particular cases of this system in terms of Tribonacci and Padovan numbers and
we prove the global stability of the corresponding positive equilibrium points.
The result obtained here extend those obtained in some recent papers.

7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th