Abstract
In this paper, we investigate the behaviour of the solutions of difference equations systems
x(n+1) = y(n-5)/+/- 1 + y(n-1)x(n-3)y(n-5), y(n+1) = x(n-5)/+/- 1 + x(n-1)y(n-3)x(n-5),
where the initial values are arbitrary real numbers such that the denominator is always nonzero.