Abstract
In this paper, we deal with the system that has solutions and the periodicity character of the following systems of rational difference equations with order three
x(n+1) = y(n-1)y(n-2)/x(n) (+/- 1 +/- y(n-1)y(n-2)), y(n+1) = x(n-1)x(n-2)/y(n) (+/- 1 +/- x(n-1)x(n-2)),
with initial conditions x(-2), x(-1), x(0), y(-2), y(-1), and y(0) that are arbitrary nonzero real numbers. Some numerical examples will be given to illustrate our results. Copyright (C) 2015 JohnWiley & Sons, Ltd.