Abstract
In this paper, we investigate the expressions of solutions and the periodic nature of the following systems of rational difference equations with order four
x(n+1) = y(n-3)/+/- 1 +/- y(n)z(n-1)x(n-2)y(n-3), y(n+1) = z(n-3)/+/- 1 +/- z(n)x(n-1)y(n-2)z(n-3), z(n+1) = x(n-3)/+/- 1 +/- x(n)y(n-1)z(n-2)x(n-3),
with initial conditions x(-3), x(-2), x(-1), x(0), y(-3), y(-2), y(-1), y(0), z(-3), z(-2), z(-1) and z(0) which are arbitrary real numbers. (C) 2016 All rights reserved.