摘要：In this article we consider the global behavior of the following system of piecewise linear difference equations: x n + 1 = x n − y n − b $x_{n+1}= x_{n} -y_{n}-b$ and y n + 1 = x n + y n $y_{n+1} = x_{n}+ y_{n} $ where b is any positive real number and the initial condition ( x 0 , y 0 ) $(x_(, y_()$ is an element of R 2 $R^,$ . By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution.
