Periodicty and Stability of Solutions of Rational Difference Systems

E. M. Elabbasy and S. M. El

Abstract

We study the stability character and periodic solutions of the following rational difference systems 1 1 1 1 1 1 = 1 , = 1 , 1 1 n n n n n n n n x x y y y x x y − − + + − − ± ± ± ± where the initial values 1 0 1 0 x , x , y , y − − are nonzero real numbers. Some numerical examples are given to illustrate our results.