… In this paper we deal with the periodic nature and the form of the solutions of the
following systems of rational difference equations x n + 1 = x n − 3 ± 1 ± x n − 3 y n − 1 , y n
+ 1 = y n − 3 ± 1 ± y n − 3 x n − 1 with a nonzero real number’s initial conditions. … So,
recently there has been an increasing interest in the study of qualitative analysis of rational
difference equations and systems of difference equations. Although difference equations
are very simple in form, it is extremely difficult to understand thoroughly the behaviors of …

… There are many papers related to the difference equations system, for example, the
periodicity of solutions of the system of rational difference equations … Differ. Equ., 2011,
2011:28. [8] MM El-Dessoky, The form of solutions and periodicity for some systems of third-order
rational difference equations, Mathematical Methods in the Applied Sciences, vol. 39, no. 5, pp. …