On the Solutions of the System of Difference Equations xn+1 = max{A/xn, yn/xn}, yn+1 = max{A/yn, xn/yn}

We study the behavior of the solutions of the following systemof difference equations xn+1=max⁡{A/xn,yn/xn}, yn+1=max⁡{A/yn,xn/yn} where the constant A and the initial conditions are positive real numbers