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In this paper, we investigate the expressions of solutions and the periodic nature of the following systems of rational difference equations with order four xn+1 = yn−3 ±1±ynzn−1xn−2yn−3 , yn+1 = zn−3 ±1±znxn−1yn−2zn−3 , zn+1 = xn−3 ±1±xnyn−1zn−2xn−3 , with initial conditions x−3, x−2, x−1, x0, y−3, y−2, y−1, y0, z−3, z−2, z−1 and z0 which are arbitrary real numbers. c ©2016 All rights reserved.

The form of solutions and periodic nature for some rational difference equations systems