Dynamics of a three‐dimensional systems of rational difference equations

We investigate in this paper the solutions and the periodicity of the following rational systems of difference equations of three‐dimensionalx n + 1 =y nx n − 2x n − 2 ± z n − 1,y n + 1 =z ny n − 2y n − 2 ± x n − 1,z n + 1 =x nz n − 2z n − 2 ± y n − 1,with initial conditions x −2 , x −1 , x 0 , y −2 , y −1 , y 0 , z −2 , z −1 and z 0 are nonzero real numbers. Copyright © 2015 John Wiley & Sons, Ltd.