%0 Journal Article %T On the global behavior of Descripci¨Žn: http:/fbpe/cubo/v14n2/art7.1.gif %A Grove %A E.A %A Lapierre %A E %A Tikjha %A W %J Cubo (Temuco) %D 2012 %I Scientific Electronic Library Online %R 10.4067/S0719-06462012000200007 %X in this paper we consider the system of piecewise linear difference equations in the title, where the initial conditions x0 and y0 are real numbers. we show that there exists a unique equilibrium solution and exactly two prime period-3 solutions, and that except for the unique equilibrium solution, every solution of the system is eventually one of the two prime period-3 solutions. %K periodic solution %K systems of piecewise linear difference equations. %U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000200007&lng=en&nrm=iso&tlng=en