On the Behavior of Solutions of Two Dimensional Decoupled Systems

Difference equations appear as natural descriptions of observed evolution phenomena because measurements of time evolving variables are discrete and as such, these equations are in their own right important mathematical models. In this work we study systems of difference equations numerically and theoretically. These systems were considered by many researchers. We will focus on the general form and the limits. We consider different orders of the difference systems. We use in certain cases the computer to verify the limit properties.